A posteriori error estimates for the problem of electrostatics with a dipole source

DOI10.1016/j.camwa.2014.06.017zbMath1362.78002OpenAlexW2070729053MaRDI QIDQ2397197

Rodolfo Rodríguez, Alberto Valli, Jessika Camaño, Ana M. Alonso Rodriguez

Publication date: 30 May 2017

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.06.017

zbMATH Keywords

electroencephalographyelectrostaticdipole sourcefinite elements \(L^p\)-errorresidual based error estimator

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electro- and magnetostatics (78A30)

Related Items (4)

Projection in negative norms and the regularization of rough linear functionals ⋮ Numerical Discretization of a Darcy-Forchheimer Problem Coupled with a Singular Heat Equation ⋮ A posteriori error estimates in \(W^{1,p}\times L^p\) spaces for the Stokes system with Dirac measures ⋮ The research of Alberto Valli

Uses Software

• Triangle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solving an electrostatics-like problem with a current dipole source by means of the duality method
• A posteriori error estimates for elliptic problems with Dirac delta source terms
• Accuracy and run-time comparison for different potential approaches and iterative solvers in finite element method based EEG source analysis
• Neumann and mixed problems on curvilinear polyhedra
• Delaunay refinement algorithms for triangular mesh generation
• Numerical Mathematics of the Subtraction Method for the Modeling of a Current Dipole in EEG Source Reconstruction Using Finite Element Head Models
• A Posteriori Error Estimates for Nonlinear Problems. Finite Element Discretizations of Elliptic Equations
• Pointwise a Posteriori Error Estimates for Elliptic Problems on Highly Graded Meshes
• The Mathematical Theory of Finite Element Methods

This page was built for publication: A posteriori error estimates for the problem of electrostatics with a dipole source