LEADER 04935nam 2200613 450 001 9910508430703321 005 20230616150613.0 010 $a3-030-81477-7 035 $a(MiAaPQ)EBC6803474 035 $a(Au-PeEL)EBL6803474 035 $a(CKB)19410617000041 035 $a(OCoLC)1285362184 035 $a(PPN)258840625 035 $a(EXLCZ)9919410617000041 100 $a20220815d2021 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHybrid high-order methods $ea primer with applications to solid mechanics /$fMatteo Cicuttin, Alexandre Ern, Nicolas Pignet 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (138 pages) 225 1 $aSpringerBriefs in mathematics 311 08$aPrint version: Cicuttin, Matteo Hybrid High-Order Methods Cham : Springer International Publishing AG,c2021 9783030814762 320 $aIncludes bibliographical references. 327 $aIntro -- Preface -- Contents -- 1 Getting Started: Linear Diffusion -- 1.1 Model Problem -- 1.2 Discrete Setting -- 1.2.1 The Mesh -- 1.2.2 Discrete Unknowns -- 1.3 Local Reconstruction and Stabilization -- 1.3.1 Local Reconstruction -- 1.3.2 Local Stabilization -- 1.3.3 Example: Lowest-Order Case -- 1.4 Assembly and Static Condensation -- 1.4.1 The Discrete Problem -- 1.4.2 Algebraic Realization -- 1.5 Flux Recovery and Embedding into HDG Methods -- 1.5.1 Flux Recovery -- 1.5.2 Embedding into HDG Methods -- 1.6 One-Dimensional Setting -- 2 Mathematical Aspects -- 2.1 Mesh Regularity and Basic Analysis Tools -- 2.1.1 Mesh Regularity -- 2.1.2 Functional and Discrete Inverse Inequalities -- 2.1.3 Polynomial Approximation -- 2.2 Stability -- 2.3 Consistency -- 2.4 H1-Error Estimate -- 2.5 Improved L2-Error Estimate -- 3 Some Variants -- 3.1 Variants on Gradient Reconstruction -- 3.2 Mixed-Order Variant and Application to Curved Boundaries -- 3.2.1 Mixed-Order Variant with Higher Cell Degree -- 3.2.2 Domains with a Curved Boundary -- 3.3 Finite Element and Virtual Element Viewpoints -- 4 Linear Elasticity and Hyperelasticity -- 4.1 Continuum Mechanics -- 4.1.1 Infinitesimal Deformations and Linear Elasticity -- 4.1.2 Finite Deformations and Hyperelasticity -- 4.2 HHO Methods for Linear Elasticity -- 4.2.1 Discrete Unknowns, Reconstruction, and Stabilization -- 4.2.2 Discrete Problem, Energy Minimization, and Traction Recovery -- 4.2.3 Stability and Error Analysis -- 4.3 HHO Methods for Hyperelasticity -- 4.3.1 The Stabilized HHO Method -- 4.3.2 The Unstabilized HHO Method -- 4.3.3 Nonlinear Solver and Static Condensation -- 4.4 Numerical Examples -- 5 Elastodynamics -- 5.1 Second-Order Formulation in Time -- 5.1.1 HHO Space Semi-discretization -- 5.1.2 Time Discretization -- 5.2 First-Order Formulation in Time -- 5.2.1 HHO Space Semi-discretization. 327 $a5.2.2 Time Discretization -- 5.3 Numerical Example -- 6 Contact and Friction -- 6.1 Model Problem -- 6.2 HHO-Nitsche Method -- 6.2.1 FEM-Nitsche Method -- 6.2.2 Discrete Setting for HHO-Nitsche -- 6.2.3 Stability and Error Analysis -- 6.3 Numerical Example -- 7 Plasticity -- 7.1 Plasticity Model -- 7.1.1 Kinematics and Additive Decomposition -- 7.1.2 Helmholtz Free Energy and Yield Function -- 7.1.3 Plasticity Problem in Incremental Form -- 7.2 HHO Discretizations -- 7.2.1 Discrete Unknowns -- 7.2.2 Discrete Plasticity Problem in Incremental Form -- 7.2.3 Nonlinear Solver -- 7.3 Numerical Examples -- 7.3.1 Torsion of a Square-Section Bar -- 7.3.2 Hydraulic Pump Under Internal Forces -- 8 Implementation Aspects -- 8.1 Polynomial Spaces -- 8.2 Algebraic Representation of the HHO Space -- 8.3 L2-Orthogonal Projections -- 8.3.1 Quadratures -- 8.3.2 Reduction Operator -- 8.4 Algebraic Realization of the Local HHO Operators -- 8.4.1 Local Reconstruction Operator -- 8.4.2 The Stabilization Operator -- 8.5 Assembly and Boundary Conditions -- 8.6 Remarks on the Computational Cost of HHO Methods -- Appendix References. 410 0$aSpringerBriefs in mathematics. 606 $aElasticity 606 $aDiffusion$xMathematical models 606 $aSolid state physics 606 $aElasticitat$2thub 606 $aModels matemàtics$2thub 606 $aFísica de l'estat sòlid$2thub 608 $aLlibres electrònics$2thub 615 0$aElasticity. 615 0$aDiffusion$xMathematical models. 615 0$aSolid state physics. 615 7$aElasticitat 615 7$aModels matemàtics 615 7$aFísica de l'estat sòlid 676 $a531.382 700 $aCicuttin$b Matteo$01029422 702 $aErn$b Alexandre$f1967- 702 $aPignet$b Nicolas 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910508430703321 996 $aHybrid high-order methods$92905147 997 $aUNINA LEADER 04656nam 2200949z- 450 001 9910557124203321 005 20210501 035 $a(CKB)5400000000040812 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/68359 035 $a(oapen)doab68359 035 $a(EXLCZ)995400000000040812 100 $a20202105d2021 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aChromosome Manipulation for Plant Breeding Purposes 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2021 215 $a1 online resource (138 p.) 311 08$a3-0365-0024-3 311 08$a3-0365-0025-1 330 $aThe ability to exploit the potential of wild relatives carrying beneficial traits is a major goal in breeding programs. However, it relies on the possibility of the chromosomes from the crop and wild species in interspecific crosses to recognize, associate, and undergo crossover formation during meiosis, the cellular process responsible for producing gametes with half the genetic content of their parent cells. Unfortunately, in most cases, a barrier exists preventing successful hybridization between the wild and crop chromosomes. Understanding the mechanisms controlling chromosome associations during meiosis are of great interest in plant breeding and will allow chromosome manipulation to introduce genetic variability from related species into a crop. In addition to interspecific hybrids, other materials, such as natural and synthetic polyploids and introgression lines derived from allopolyploids, among others, are powerful tools in the framework of plant breeding. For example, an extra pair of alien chromosomes in the full genome complement of a crop species has been frequently used as a first step to access genetic variation from the secondary gene pool in breeding programs. In addition, such introgression lines are also pivotal in the study of interspecific genetic interactions, in the chromosomal location of genetic markers, and in the study of chromosome structure and behavior in somatic and meiotic cells. Contained in this Special Issue are accounts of original research, including new tools to identify chromosome introgressions and the development and characterization of introgression lines and interspecific hybrids carrying desirable agronomic traits for plant breeding purposes. Also included are reviews about the chromosome engineering of tropical cash crops and the effect of chromosome structure on chromosome associations and recombination during meiosis to allow chromosome manipulation in the framework of plant breeding. 606 $aBiology, life sciences$2bicssc 606 $aResearch & information: general$2bicssc 610 $a5R dissection line 610 $aAegilops 610 $aalien chromosome 610 $aanatomy 610 $aaneuploidy 610 $abarley 610 $acacao 610 $acentric breaks 610 $achromosome engineering 610 $achromosome fusion 610 $achromosome pairing 610 $achromosome rearrangements 610 $acitrus 610 $acoffee 610 $acrossover distribution 610 $acytogenetics 610 $aflow cytometry 610 $afluorescence in situ hybridization 610 $agrain colour 610 $ahistogenic layer 610 $aHordeum chilense 610 $aintrogression 610 $ameiosis 610 $ameiotic recombination 610 $amini-satellite 610 $anon-homologous recombination 610 $apapaya 610 $aPCR markers 610 $aPCR-based markers 610 $aphysical map 610 $apolyploidy 610 $apolyploidy breeding 610 $aRobertsonian translocations 610 $arye 610 $astarch 610 $astripe rust 610 $asynthetic biology 610 $atandem repeats 610 $atelosomic chromosomes 610 $atriticale 610 $aTriticeae 610 $atritordeum 610 $atropical cash crops 610 $awaxy proteins 610 $awheat 610 $awheat bread-making gene 610 $awheat introgression 610 $awheat quality 610 $awild barley 615 7$aBiology, life sciences 615 7$aResearch & information: general 700 $aPrieto$b Pilar$4edt$0317569 702 $aPrieto$b Pilar$4oth 906 $aBOOK 912 $a9910557124203321 996 $aChromosome Manipulation for Plant Breeding Purposes$93038147 997 $aUNINA