Nonuniform spatial mesh adaptation using a posteriori error estimates: Applications to forward and inverse problems

DOI10.1016/0168-9274(94)90031-0zbMath0803.92014OpenAlexW1972819716MaRDI QIDQ1330502

Christopher R. Johnson, Robert S. MacLeod

Publication date: 3 January 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)90031-0

zbMATH Keywords

inverse problemfinite element approximationa posteriori error estimatesvoltageselliptic equation of second orderelectric and potential fieldsprimary current sourcesthree-dimensional inhomogeneous, anisotropic domain

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Error bounds for boundary value problems involving PDEs (65N15) Medical applications (general) (92C50) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Applications to the sciences (65Z05)

Related Items (5)

Adaptive anisotropic Bayesian meshing for inverse problems ⋮ Fast intersections on nested tetrahedrons (FINT): An algorithm for adaptive finite element based distributed parameter estimation ⋮ Error estimates and adaptive finite element methods ⋮ 2D and 3D finite element meshing and remeshing ⋮ Moving mesh methods for Boussinesq equation

Cites Work

• A mathematical procedure for solving the inverse potential problem of electrocardiography. Analysis of the time-space accuracy from in vitro experimental data
• Finite element approximation of regularized solutions of the inverse potential problem of electrocardiography and applications to experimental data
• Regularization of the inverse problem in electrocardiography: A model study
• Finite element methods (Part 1)
• Electric Current Computed Tomography and Eigenvalues
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonuniform spatial mesh adaptation using a posteriori error estimates: Applications to forward and inverse problems