Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Abstract parabolic evolution equations and Łojasiewicz-Simon inequality . 1 Abstract theory / / Atsushi Yagi
| Abstract parabolic evolution equations and Łojasiewicz-Simon inequality . 1 Abstract theory / / Atsushi Yagi |
| Autore | Yagi Atsushi <1951-> |
| Pubbl/distr/stampa | Gateway East, Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (68 pages) |
| Disciplina | 515.353 |
| Collana | SpringerBriefs in mathematics |
| Soggetto topico |
Differential equations, Partial
Equacions en derivades parcials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-1896-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466414503316 |
Yagi Atsushi <1951->
|
||
| Gateway East, Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Abstract parabolic evolution equations and Łojasiewicz-Simon inequality . 1 Abstract theory / / Atsushi Yagi
| Abstract parabolic evolution equations and Łojasiewicz-Simon inequality . 1 Abstract theory / / Atsushi Yagi |
| Autore | Yagi Atsushi <1951-> |
| Pubbl/distr/stampa | Gateway East, Singapore : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (68 pages) |
| Disciplina | 515.353 |
| Collana | SpringerBriefs in mathematics |
| Soggetto topico |
Differential equations, Partial
Equacions en derivades parcials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-16-1896-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910483064103321 |
|
Yagi Atsushi <1951->
|
||
| Gateway East, Singapore : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analytic partial differential equations / / François Treves
| Analytic partial differential equations / / François Treves |
| Autore | Treves Francois <1930-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] |
| Descrizione fisica | 1 online resource (1221 pages) |
| Disciplina | 515.353 |
| Collana | Grundlehren der mathematischen Wissenschaften |
| Soggetto topico |
Differential equations, Partial
Equacions en derivades parcials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030940553
9783030940546 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996472036803316 |
|
Treves Francois <1930->
|
||
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Analytic partial differential equations / / François Treves
| Analytic partial differential equations / / François Treves |
| Autore | Treves Francois <1930-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] |
| Descrizione fisica | 1 online resource (1221 pages) |
| Disciplina | 515.353 |
| Collana | Grundlehren der mathematischen Wissenschaften |
| Soggetto topico |
Differential equations, Partial
Equacions en derivades parcials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030940553
9783030940546 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910568263203321 |
|
Treves Francois <1930->
|
||
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Anisotropic hp-Mesh adaptation methods : theory, implementation and applications / / Vít Dolejsí and Georg May
| Anisotropic hp-Mesh adaptation methods : theory, implementation and applications / / Vít Dolejsí and Georg May |
| Autore | Dolejší Vít |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
| Descrizione fisica | 1 online resource (258 pages) |
| Disciplina | 515.353 |
| Collana | Nečas Center |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Differential equations, Partial - Numerical solutions - Data processing Equacions en derivades parcials Solucions numèriques |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-04279-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996479368203316 |
|
Dolejší Vít
|
||
| Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Anisotropic hp-Mesh adaptation methods : theory, implementation and applications / / Vít Dolejsí and Georg May
| Anisotropic hp-Mesh adaptation methods : theory, implementation and applications / / Vít Dolejsí and Georg May |
| Autore | Dolejší Vít |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
| Descrizione fisica | 1 online resource (258 pages) |
| Disciplina | 515.353 |
| Collana | Nečas Center |
| Soggetto topico |
Differential equations, Partial - Numerical solutions
Differential equations, Partial - Numerical solutions - Data processing Equacions en derivades parcials Solucions numèriques |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-04279-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910574858103321 |
|
Dolejší Vít
|
||
| Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Difference Matrices for ODE and PDE [[electronic resource] ] : A MATLAB® Companion / / by John M. Neuberger
| Difference Matrices for ODE and PDE [[electronic resource] ] : A MATLAB® Companion / / by John M. Neuberger |
| Autore | Neuberger John M. <1962-> |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (212 pages) |
| Disciplina | 515.625 |
| Soggetto topico |
Mathematics—Data processing
Difference equations Functional equations Mathematical analysis Computational Mathematics and Numerical Analysis Difference and Functional Equations Analysis Equacions diferencials Equacions en derivades parcials Programes d'ordinador 2thub Algorismes 2thub |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031120008
9783031119996 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Review of elementary numerical methods and MATLAB(R) -- 3. Ordinary Differential Equations -- 4. Partial Differential Equations -- 5. Advanced topics in semilinear elliptic BVP -- References. |
| Record Nr. | UNINA-9910645894003321 |
|
Neuberger John M. <1962->
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Domain Decomposition Methods in Science and Engineering XXVI / / Susanne C. Brenner [and five others], editors
| Domain Decomposition Methods in Science and Engineering XXVI / / Susanne C. Brenner [and five others], editors |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] |
| Descrizione fisica | 1 online resource (777 pages) |
| Disciplina | 515.353 |
| Collana | Lecture Notes in Computational Science and Engineering Series |
| Soggetto topico |
Decomposition method
Differential equations, Partial Descomposició (Matemàtica) Processament de dades Equacions en derivades parcials |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-95025-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Background of the Conference Series -- About the 26th Conference -- Acknowledgments -- Contents -- List of Contributors -- Part I Plenary Talks (PT) -- Multiscale Model Reduction for a Class of Optimal Control Problems with Highly Oscillating Coefficients -- 1 Introduction -- 2 Method description -- 2.1 Multiscale basis functions -- 2.2 The proposed method -- 2.3 Outline of error analysis -- 3 Numerical results -- References -- SeveralWays to Achieve Robustness When SolvingWave Propagation Problems -- 1 Motivation and challenges -- 1.1 Why the time-harmonic problem in mid and high frequency is hard -- 2 What is the best coarse space for Helmholtz? -- 2.1 Spectral coarse spaces for Helmholtz -- 2.2 Comparison of coarse spaces -- 3 Can we improve on the auxiliary subspace preconditioner? -- 4 General conclusions -- References -- Scalable Hybrid TFETI-DP Methods for Large Boundary Variational Inequalities -- 1 Introduction -- 2 Model problem -- 3 Domain decomposition and discretization -- 4 TFETI problem -- 5 Connecting subdomains into clusters -- 6 Bounds on the spectrum of H and optimality -- 7 Numerical experiments -- 7.1 Comparing estimate and experiments -- 7.2 Comparing linear unpreconditioned H-TFETI-DP and TFETI -- 7.3 Model variational inequality and elastic body on rigid obstacle -- References -- Fundamental Coarse Space Components for Schwarz Methods with Crosspoints -- 1 Introduction -- 2 Modal analysis of the Schwarz iteration map -- 3 The special case of 2 × 2 subdomains -- 4 A new coarse space for parallel Schwarz methods -- 5 Numerical experiments -- 6 A note on the optimized Robin parameter -- 7 Conclusion -- References -- Nonoverlapping Domain Decomposition Methods for Time HarmonicWave Problems -- 1 Elliptic equations versus the Helmholtz equation -- 2 Impedance-based transmission conditions and related DDM.
3 Convergence analysis -- 4 Construction of appropriate impedance operators -- 5 The problem of cross points -- References -- Quantitative Analysis of Nonlinear Multifidelity Optimization for Inverse Electrophysiology -- 1 Introduction -- 2 Electrophysiological models -- 3 Inverse problem of Conductivity Identification -- 4 Multilevel Quasi-Newton Trust-region Method -- Quasi-Newton trust-region method -- Recursive multilevel trust-region method -- 5 Numerical results -- 5.1 Patient-specific geometry -- 5.2 Convergence study -- 6 Conclusion -- References -- Adaptive Space-Time Finite Element and Isogeometric Analysis -- 1 Introduction -- 2 Space-time variational formulations -- 3 Space-time isogeometric analysis -- 4 Space-time finite element analysis -- 5 Space-time optimal control -- References -- Nonoverlapping Domain Decomposition Methods for Saddle Point Problems -- 1 Introduction -- 2 Problem setting -- 3 Domain decomposition -- 4 Positive definite formulations -- 4.1 The primal system (6) -- 4.2 The dual system (12) -- 5 Condition number estimates -- 6 Connections and differences -- References -- Local Residual Minimization Smoothing for Improving Convergence Behavior of a Space-Time Domain Decomposition Method -- 1 Introduction -- 2 Flow model problem -- 3 Local residual minimization -- 4 Numerical results -- 5 Conclusions -- References -- Part II Talks in Minisymposia -- GenEO Coarse Spaces for Heterogeneous Indefinite Elliptic Problems -- 1 Introduction and motivations -- 2 Discretisation and domain decomposition solver -- 3 Theoretical results -- 4 Numerical results -- 5 Conclusions -- References -- Inexact Subdomain Solves Using Deflated GMRES for Helmholtz Problems -- 1 Introduction -- 2 Model problem, discretisation and preconditioning strategies -- 3 Numerical results -- 3.1 Direct subdomain solves -- 3.2 Inexact subdomain solves. 4 Conclusions -- References -- Non-Overlapping Domain Decomposition Methods with Cross-Points and Padé Approximants for the Helmholtz Equation -- 1 Introduction -- 2 Model problem -- 3 Non-overlapping domain decomposition algorithm -- 4 Nodal FEM-NDDM and the cross-points problem -- 5 Numerical results -- References -- OSDS: A Sweeping Preconditioner for the Helmholtz Equation -- 1 Statement of the problem and some algorithms -- 2 Overlapping splitting double sweep -- 2.1 Substructuring -- 2.2 Overlapping Splitting Double Sweep preconditioner (OSDS) -- 3 Numerical results -- 3.1 Wedge test -- 3.2 Influence of the overlap -- 4 Conclusion -- References -- Decomposition and Preconditioning of Deep Convolutional Neural Networks for Training Acceleration -- 1 Introduction -- 2 Proposed approaches -- 2.1 Decomposing a DCNN into sub-networks -- 2.2 Preconditioning of DCNNs -- 3 Experiments -- 4 Conclusion -- References -- Numerical Calculation of the Portal Pressure Gradient of the Human Liver With a Domain Decomposition Method -- 1 Introduction -- 2 Numerical method -- 3 Numerical experiments -- References -- A Parallel Adaptive Finite Element Method for Modeling a Deformable Droplet Travelling in Air -- 1 Introduction -- 2 A mathematical model based on the Cahn-Hilliard-Navier-Stokes equations -- 3 A parallel, semi-implicit solution algorithm based on an adaptive finite element discretization, and an overlapping Schwarz pr -- 4 Numerical experiments -- 5 Conclusions -- References -- On the Effect of Boundary Conditions on the Scalability of Schwarz Methods -- 1 Introduction -- 2 Laplace eigenpairs for mixed external conditions -- 3 Convergence and scalability -- 4 Numerical experiments -- References -- On the Asymptotic Optimality of Spectral Coarse Spaces -- 1 Introduction -- 2 A perturbation approach -- 3 Optimizing the coarse-space functions. References -- Discrete Analysis of SchwarzWaveform Relaxation for a Simplified Air-Sea Coupling Problem with Nonlinear Transmission Conditions -- 1 Introduction -- 2 Model problem for ocean-atmosphere coupling -- 3 Discretized coupled problem -- 3.1 Implementation of the surface layer -- 3.2 SchwarzWaveform Relaxation -- 4 Convergence analysis -- 5 Numerical experiments -- 6 Conclusion -- References -- A Posteriori Error Estimates in Maximum Norm for Interior Penalty Discontinuous Galerkin Approximation of the Obstacle Problem -- 1 Introduction -- 2 The elliptic obstacle problem -- 3 The Symmetric Interior Penalty method -- 4 Reliable a posteriori error estimates in the maximum norm -- 5 Numerical results -- 5.1 Numerical experiments -- References -- Spectral Equivalence Properties of Higher-Order Tensor Product Finite Elements -- 1 Introduction -- 2 Shape functions -- 2.1 Edge shape functions -- 2.2 Face shape functions -- 2.3 Interior shape functions -- 2.4 Lowest-order shape functions -- 3 Spectral equivalence results -- 3.1 Mass matrix equivalence -- 3.2 Stiffness matrix equivalence -- 4 Numerical results -- References -- Optimizing Transmission Conditions for Multiple Subdomains in the Magnetotelluric Approximation of Maxwell's Equations -- 1 Optimized Schwarz for the Magnetotelluric Approximation -- 2 Optimization for 2, 3, 4, 5 and 6 subdomains -- 3 Optimization for many subdomains -- References -- Non-overlapping Spectral Additive Schwarz Methods for HDG and Multiscale Discretizations -- 1 Introduction -- 2 Domain decomposition setting -- 3 NOSAS with exact and inexact solvers -- 4 Multiscale discretization methods -- 5 Numerical experiments -- References -- Robust BPX Solver for Cahn-Hilliard Equations -- 1 Introduction -- 2 Numerical approximation -- 3 Newton's method -- 4 Preconditioned iterative solver -- 5 Conclusions -- References. Natural Factor Based Solvers -- 1 Summary -- 2 Introduction -- 3 Crouzeix-Raviart nonconforming finite elements -- 4 Conforming finite elements -- 5 The null space method -- 6 Range null-space hybrid -- 7 An auxiliary problem and 2 × 2 systems -- 8 PCG for the block system and numerical experiments -- References -- A Simple Finite Difference Discretization for Ventcell Transmission Conditions at Cross Points -- 1 Introduction -- 2 Optimized Schwarz with Ventcell transmission conditions -- 3 Numerical experiments -- 4 Conclusions -- References -- Cycles in Newton-Raphson Preconditioned by Schwarz (ASPIN and Its Cousins) -- 1 Introduction -- 2 Convergence of generic fixed point iterations and Newton-Raphson -- 3 The fixed point iteration of alternating Schwarz -- 4 Accelerated alternating Schwarz with guaranteed convergence -- References -- Should Multilevel Methods for Discontinuous Galerkin Discretizations Use Discontinuous Interpolation Operators? -- 1 Discontinuous interpolation for a model problem -- 2 Study of optimal parameters by Local Fourier Analysis -- 3 Numerical results -- 4 Conclusion -- References -- Domain Decomposition in Shallow Water Modelling of Dutch Lakes for Multiple Applications -- 1 Introduction -- 1.1 Area of interest -- 1.2 Previous approaches -- 1.3 New approach -- 2 Computational grids -- 3 Domain decomposition for parallel computing in Delft3D FM -- 4 Conclusions and outlook -- References -- A Variational Interpretation of Restricted Additive SchwarzWith Impedance Transmission Condition for the Helmholtz Problem -- 1 The Helmholtz problem -- 2 Parallel iterative Schwarz method -- 3 Variational formulation of RAS with impedance transmission condition (ORAS) -- 4 Connecting the parallel iterative method with ORAS -- 5 Numerical results -- References. Application of Multilevel BDDC to the Problem of Pressure in Simulations of Incompressible Flow. |
| Record Nr. | UNINA-9910682560603321 |
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Domain Decomposition Methods in Science and Engineering XXVI / / Susanne C. Brenner [and five others], editors
| Domain Decomposition Methods in Science and Engineering XXVI / / Susanne C. Brenner [and five others], editors |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] |
| Descrizione fisica | 1 online resource (777 pages) |
| Disciplina | 515.353 |
| Collana | Lecture Notes in Computational Science and Engineering Series |
| Soggetto topico |
Decomposition method
Differential equations, Partial Descomposició (Matemàtica) Processament de dades Equacions en derivades parcials |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-95025-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Background of the Conference Series -- About the 26th Conference -- Acknowledgments -- Contents -- List of Contributors -- Part I Plenary Talks (PT) -- Multiscale Model Reduction for a Class of Optimal Control Problems with Highly Oscillating Coefficients -- 1 Introduction -- 2 Method description -- 2.1 Multiscale basis functions -- 2.2 The proposed method -- 2.3 Outline of error analysis -- 3 Numerical results -- References -- SeveralWays to Achieve Robustness When SolvingWave Propagation Problems -- 1 Motivation and challenges -- 1.1 Why the time-harmonic problem in mid and high frequency is hard -- 2 What is the best coarse space for Helmholtz? -- 2.1 Spectral coarse spaces for Helmholtz -- 2.2 Comparison of coarse spaces -- 3 Can we improve on the auxiliary subspace preconditioner? -- 4 General conclusions -- References -- Scalable Hybrid TFETI-DP Methods for Large Boundary Variational Inequalities -- 1 Introduction -- 2 Model problem -- 3 Domain decomposition and discretization -- 4 TFETI problem -- 5 Connecting subdomains into clusters -- 6 Bounds on the spectrum of H and optimality -- 7 Numerical experiments -- 7.1 Comparing estimate and experiments -- 7.2 Comparing linear unpreconditioned H-TFETI-DP and TFETI -- 7.3 Model variational inequality and elastic body on rigid obstacle -- References -- Fundamental Coarse Space Components for Schwarz Methods with Crosspoints -- 1 Introduction -- 2 Modal analysis of the Schwarz iteration map -- 3 The special case of 2 × 2 subdomains -- 4 A new coarse space for parallel Schwarz methods -- 5 Numerical experiments -- 6 A note on the optimized Robin parameter -- 7 Conclusion -- References -- Nonoverlapping Domain Decomposition Methods for Time HarmonicWave Problems -- 1 Elliptic equations versus the Helmholtz equation -- 2 Impedance-based transmission conditions and related DDM.
3 Convergence analysis -- 4 Construction of appropriate impedance operators -- 5 The problem of cross points -- References -- Quantitative Analysis of Nonlinear Multifidelity Optimization for Inverse Electrophysiology -- 1 Introduction -- 2 Electrophysiological models -- 3 Inverse problem of Conductivity Identification -- 4 Multilevel Quasi-Newton Trust-region Method -- Quasi-Newton trust-region method -- Recursive multilevel trust-region method -- 5 Numerical results -- 5.1 Patient-specific geometry -- 5.2 Convergence study -- 6 Conclusion -- References -- Adaptive Space-Time Finite Element and Isogeometric Analysis -- 1 Introduction -- 2 Space-time variational formulations -- 3 Space-time isogeometric analysis -- 4 Space-time finite element analysis -- 5 Space-time optimal control -- References -- Nonoverlapping Domain Decomposition Methods for Saddle Point Problems -- 1 Introduction -- 2 Problem setting -- 3 Domain decomposition -- 4 Positive definite formulations -- 4.1 The primal system (6) -- 4.2 The dual system (12) -- 5 Condition number estimates -- 6 Connections and differences -- References -- Local Residual Minimization Smoothing for Improving Convergence Behavior of a Space-Time Domain Decomposition Method -- 1 Introduction -- 2 Flow model problem -- 3 Local residual minimization -- 4 Numerical results -- 5 Conclusions -- References -- Part II Talks in Minisymposia -- GenEO Coarse Spaces for Heterogeneous Indefinite Elliptic Problems -- 1 Introduction and motivations -- 2 Discretisation and domain decomposition solver -- 3 Theoretical results -- 4 Numerical results -- 5 Conclusions -- References -- Inexact Subdomain Solves Using Deflated GMRES for Helmholtz Problems -- 1 Introduction -- 2 Model problem, discretisation and preconditioning strategies -- 3 Numerical results -- 3.1 Direct subdomain solves -- 3.2 Inexact subdomain solves. 4 Conclusions -- References -- Non-Overlapping Domain Decomposition Methods with Cross-Points and Padé Approximants for the Helmholtz Equation -- 1 Introduction -- 2 Model problem -- 3 Non-overlapping domain decomposition algorithm -- 4 Nodal FEM-NDDM and the cross-points problem -- 5 Numerical results -- References -- OSDS: A Sweeping Preconditioner for the Helmholtz Equation -- 1 Statement of the problem and some algorithms -- 2 Overlapping splitting double sweep -- 2.1 Substructuring -- 2.2 Overlapping Splitting Double Sweep preconditioner (OSDS) -- 3 Numerical results -- 3.1 Wedge test -- 3.2 Influence of the overlap -- 4 Conclusion -- References -- Decomposition and Preconditioning of Deep Convolutional Neural Networks for Training Acceleration -- 1 Introduction -- 2 Proposed approaches -- 2.1 Decomposing a DCNN into sub-networks -- 2.2 Preconditioning of DCNNs -- 3 Experiments -- 4 Conclusion -- References -- Numerical Calculation of the Portal Pressure Gradient of the Human Liver With a Domain Decomposition Method -- 1 Introduction -- 2 Numerical method -- 3 Numerical experiments -- References -- A Parallel Adaptive Finite Element Method for Modeling a Deformable Droplet Travelling in Air -- 1 Introduction -- 2 A mathematical model based on the Cahn-Hilliard-Navier-Stokes equations -- 3 A parallel, semi-implicit solution algorithm based on an adaptive finite element discretization, and an overlapping Schwarz pr -- 4 Numerical experiments -- 5 Conclusions -- References -- On the Effect of Boundary Conditions on the Scalability of Schwarz Methods -- 1 Introduction -- 2 Laplace eigenpairs for mixed external conditions -- 3 Convergence and scalability -- 4 Numerical experiments -- References -- On the Asymptotic Optimality of Spectral Coarse Spaces -- 1 Introduction -- 2 A perturbation approach -- 3 Optimizing the coarse-space functions. References -- Discrete Analysis of SchwarzWaveform Relaxation for a Simplified Air-Sea Coupling Problem with Nonlinear Transmission Conditions -- 1 Introduction -- 2 Model problem for ocean-atmosphere coupling -- 3 Discretized coupled problem -- 3.1 Implementation of the surface layer -- 3.2 SchwarzWaveform Relaxation -- 4 Convergence analysis -- 5 Numerical experiments -- 6 Conclusion -- References -- A Posteriori Error Estimates in Maximum Norm for Interior Penalty Discontinuous Galerkin Approximation of the Obstacle Problem -- 1 Introduction -- 2 The elliptic obstacle problem -- 3 The Symmetric Interior Penalty method -- 4 Reliable a posteriori error estimates in the maximum norm -- 5 Numerical results -- 5.1 Numerical experiments -- References -- Spectral Equivalence Properties of Higher-Order Tensor Product Finite Elements -- 1 Introduction -- 2 Shape functions -- 2.1 Edge shape functions -- 2.2 Face shape functions -- 2.3 Interior shape functions -- 2.4 Lowest-order shape functions -- 3 Spectral equivalence results -- 3.1 Mass matrix equivalence -- 3.2 Stiffness matrix equivalence -- 4 Numerical results -- References -- Optimizing Transmission Conditions for Multiple Subdomains in the Magnetotelluric Approximation of Maxwell's Equations -- 1 Optimized Schwarz for the Magnetotelluric Approximation -- 2 Optimization for 2, 3, 4, 5 and 6 subdomains -- 3 Optimization for many subdomains -- References -- Non-overlapping Spectral Additive Schwarz Methods for HDG and Multiscale Discretizations -- 1 Introduction -- 2 Domain decomposition setting -- 3 NOSAS with exact and inexact solvers -- 4 Multiscale discretization methods -- 5 Numerical experiments -- References -- Robust BPX Solver for Cahn-Hilliard Equations -- 1 Introduction -- 2 Numerical approximation -- 3 Newton's method -- 4 Preconditioned iterative solver -- 5 Conclusions -- References. Natural Factor Based Solvers -- 1 Summary -- 2 Introduction -- 3 Crouzeix-Raviart nonconforming finite elements -- 4 Conforming finite elements -- 5 The null space method -- 6 Range null-space hybrid -- 7 An auxiliary problem and 2 × 2 systems -- 8 PCG for the block system and numerical experiments -- References -- A Simple Finite Difference Discretization for Ventcell Transmission Conditions at Cross Points -- 1 Introduction -- 2 Optimized Schwarz with Ventcell transmission conditions -- 3 Numerical experiments -- 4 Conclusions -- References -- Cycles in Newton-Raphson Preconditioned by Schwarz (ASPIN and Its Cousins) -- 1 Introduction -- 2 Convergence of generic fixed point iterations and Newton-Raphson -- 3 The fixed point iteration of alternating Schwarz -- 4 Accelerated alternating Schwarz with guaranteed convergence -- References -- Should Multilevel Methods for Discontinuous Galerkin Discretizations Use Discontinuous Interpolation Operators? -- 1 Discontinuous interpolation for a model problem -- 2 Study of optimal parameters by Local Fourier Analysis -- 3 Numerical results -- 4 Conclusion -- References -- Domain Decomposition in Shallow Water Modelling of Dutch Lakes for Multiple Applications -- 1 Introduction -- 1.1 Area of interest -- 1.2 Previous approaches -- 1.3 New approach -- 2 Computational grids -- 3 Domain decomposition for parallel computing in Delft3D FM -- 4 Conclusions and outlook -- References -- A Variational Interpretation of Restricted Additive SchwarzWith Impedance Transmission Condition for the Helmholtz Problem -- 1 The Helmholtz problem -- 2 Parallel iterative Schwarz method -- 3 Variational formulation of RAS with impedance transmission condition (ORAS) -- 4 Connecting the parallel iterative method with ORAS -- 5 Numerical results -- References. Application of Multilevel BDDC to the Problem of Pressure in Simulations of Incompressible Flow. |
| Record Nr. | UNISA-996518464203316 |
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Dynamics and analysis of alignment models of collective behavior / / Roman Shvydkoy
| Dynamics and analysis of alignment models of collective behavior / / Roman Shvydkoy |
| Autore | Shvydkoy Roman |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (XIV, 208 p. 16 illus., 2 illus. in color.) |
| Disciplina | 511.8 |
| Collana | Nečas Center Series |
| Soggetto topico |
Mathematical models
Models matemàtics Equacions en derivades parcials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-68147-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Emergent phenomena and overview of existing models -- Agent-based alignment systems -- Forced systems -- Kinetic models -- Macroscopic description. Hydrodynamic limit -- Euler Alignment System -- Local well-posedness and continuation criteria -- One-dimensional theory -- Global solutions to multi-dimensional systems. |
| Record Nr. | UNISA-996466414303316 |
|
Shvydkoy Roman
|
||
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
