Adaptive reference elements via harmonic extensions and associated inner modes

DOI10.1016/j.camwa.2020.07.019OpenAlexW3048760555MaRDI QIDQ2214417

Harri Hakula

Publication date: 8 December 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.07.019

zbMATH Keywords

finite element methodadaptivity\(p\)-versionharmonic extensions

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Schwarz-Christoffel-type mappings (30C30)

Related Items (1)

Conformal capacity and polycircular domains

Uses Software

• Mathematica
• DLMF
• CutFEM

Cites Work

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• Conformal modulus and planar domains with strong singularities and cusps
• On capacity computation for symmetric polygonal condensers
• A posteriori estimates using auxiliary subspace techniques
• CutFEM: Discretizing geometry and partial differential equations
• On Moduli of Rings and Quadrilaterals: Algorithms and Experiments
• A High-Order Method for Evaluating Derivatives of Harmonic Functions in Planar Domains
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• Probabilistic numerics and uncertainty in computations

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