Efficiency of nonparametric finite elements for optimal-order enforcement of Dirichlet conditions on curvilinear boundaries

DOI10.1016/j.cam.2021.113523zbMath1465.76056OpenAlexW3139537433WikidataQ114202005 ScholiaQ114202005MaRDI QIDQ2029410

Vitoriano Ruas, Marco Antonio Silva Ramos

Publication date: 3 June 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2021.113523

zbMATH Keywords

Dirichlet boundary conditionPoisson equationoptimal orderPetrov-Galerkin formulationcurved domainnonparametric finite elementstraight-edged simplex

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

• Unification of distance inequalities for linear variational problems
• Immersed boundary smooth extension: a high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods
• The finite element method with Lagrangian multipliers
• Finite element solution of 3D viscous flow problems using nonstandard degrees of freedom
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• An Augmented Conjugate Gradient Method for Solving Consecutive Symmetric Positive Definite Linear Systems
• The Mathematical Theory of Finite Element Methods
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