Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations (Q2147300)

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English	Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations	scientific article

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title

Adaptive BEM for elliptic PDE systems. II: Isogeometric analysis with hierarchical B-splines for weakly-singular integral equations (English)

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23 June 2022

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full work available at URL

https://arxiv.org/abs/2107.06613

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zbMATH Keywords

boundary element method

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isogeometric analysis

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hierarchical splines

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adaptivity

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optimal convergence

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describes a project that uses

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Local inverse estimates for non-local boundary integral operators

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Adaptive BEM with optimal convergence rates for the Helmholtz equation

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Refinable spaces and local approximation estimates for hierarchical splines

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Adaptive isogeometric methods with hierarchical splines: error estimator and convergence

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Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates

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Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems

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The isogeometric boundary element method

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An a posteriori error estimate for a first-kind integral equation

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Axioms of adaptivity

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Isogeometric Analysis

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A posteriori error estimate and h-adaptive algorithm on surfaces from Symm's integral equation

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Adaptive Boundary Element Mevthods for Some First Kind Integral Equations

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A practical guide to splines.

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Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method

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A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems

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Hitchhiker's guide to the fractional Sobolev spaces

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Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary elements methods. Part I. The two-dimensional case

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Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary element methods. II: The three-dimensional case

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Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation

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Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation

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Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. II: Hyper-singular integral equation

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Convergence of adaptive BEM and adaptive FEM-BEM coupling for estimators without $h$-weighting factor

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Adaptive 2D IGA boundary element methods

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Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations

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Reliable and efficient a posteriori error estimation for adaptive IGA boundary element methods for weakly-singular integral equations

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Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods

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Quasi-optimal Convergence Rate for an Adaptive Boundary Element Method

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Adaptive boundary element methods with convergence rates

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Inverse-type estimates on $hp$-finite element spaces and applications

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Adaptive IGAFEM with optimal convergence rates: Hierarchical B-splines

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Finite elements on degenerate meshes: inverse-type inequalities and applications

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THB-splines: The truncated basis for hierarchical splines

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Strongly stable bases for adaptively refined multilevel spline spaces

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Adaptive BEM for elliptic PDE systems, part I: abstract framework, for weakly-singular integral equations

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Adaptive IGAFEM with optimal convergence rates: T-splines

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Adaptive isogeometric boundary element methods with local smoothness control

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Advanced Boundary Element Methods

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Q3586767

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Q4953888

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Q2785470

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Effortless quasi-interpolation in hierarchical spaces

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Boundary Element Methods

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Isogeometric boundary element analysis using unstructured T-splines

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Numerical Approximation Methods for Elliptic Boundary Value Problems

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A hierarchical approach to adaptive local refinement in isogeometric analysis

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Regularity of mixed boundary value problems in ℝ3 and boundary element methods on graded meshes

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1490.65299

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2022.04.006

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Sitelinks

Mathematics(1 entry)

mardi Publication:2147300