CAD Model Simplification Error Estimation for Electrostatics Problems

DOI10.1137/16M1078641zbMath1387.35128arXiv1606.02223OpenAlexW2413982282MaRDI QIDQ4602892

Pierre Kerfriden, Ralph R. Martin, Unnamed Author, Frank C. Langbein

Publication date: 7 February 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02223

zbMATH Keywords

Laplace operatorelectrostaticsfinite-element analysis

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electro- and magnetostatics (78A30)

Related Items (2)

Analysis-aware defeaturing: Problem setting and a posteriori estimation ⋮ A probabilistic data assimilation framework to reconstruct finite element error fields from sparse error estimates: Application to sub‐modeling

Uses Software

• Netgen
• NGSolve

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A goal-oriented error estimator for the analysis of simplified designs
• On the verification of model reduction methods based on the proper generalized decomposition
• Adaptive approaches and reliability estimations in finite element analysis
• NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
• On goal-oriented error estimation for elliptic problems: Application to the control of pointwise errors
• Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error
• Second-order defeaturing error estimation for multiple boundary features
• Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
• Defeaturing:A posteriorierror analysis via feature sensitivity
• An efficient numerical method for computing the topological sensitivity of arbitrary-shaped features in plate bending
• Bounds on discretization error by special reduced integration of the lagrange family of finite elements
• Isogeometric Analysis
• Finite Element Methods for Maxwell's Equations
• Guaranteed error bounds in homogenisation: an optimum stochastic approach to preserve the numerical separation of scales
• Mastering Calculations in Linear and Nonlinear Mechanics
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• Goal-oriented error estimation and adaptivity for the finite element method

This page was built for publication: CAD Model Simplification Error Estimation for Electrostatics Problems