Anisotropic \(hp\)-mesh optimization technique based on the continuous mesh and error models

DOI10.1016/j.camwa.2016.12.015zbMath1375.65166OpenAlexW2571434693MaRDI QIDQ2406739

Georg May, Pavel Šolín, Filip Roskovec, Vít Dolejší

Publication date: 6 October 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.12.015

zbMATH Keywords

iterative algorithmerror estimatesfinite element methodnumerical examplesmesh optimization\(hp\)-methodsanisotropic mesh adaptationcontinuous error modelcontinuous mesh model

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes ⋮ A review and comparison of error estimators for anisotropic mesh adaptation for flow simulations ⋮ A continuous \textit{hp}-mesh model for discontinuous Petrov-Galerkin finite element schemes with optimal test functions ⋮ Goal-oriented error analysis of iterative Galerkin discretizations for nonlinear problems including linearization and algebraic errors ⋮ A goal-oriented anisotropic \(hp\)-mesh adaptation method for linear convection-diffusion-reaction problems ⋮ A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems ⋮ An anisotropic \(h\)-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model

Uses Software

• ANGENER
• BL2D-V2

Cites Work

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