A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography

DOI10.1016/j.amc.2020.125604OpenAlexW3080961935MaRDI QIDQ2660820

Zhuo-Jia Fu, Qiang Xi, Wenjie Wu, Yong Wang, Hui Wang

Publication date: 31 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125604

zbMATH Keywords

collocation Trefftz methodinverse Cauchy problemmeshlesslocalized collocation schemepotential-based inverse electromyography

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (20)

Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries ⋮ Analysis of the interior acoustic wave propagation problems using the modified radial point interpolation method (M-RPIM) ⋮ A novel localized collocation solver based on a radial Trefftz basis for thermal conduction analysis in FGMs with exponential variations ⋮ Bending analysis of simply supported and clamped thin elastic plates by using a modified version of the LMFS ⋮ Performance of the radial point interpolation method (RPIM) with implicit time integration scheme for transient wave propagation dynamics ⋮ A localized collocation solver based on fundamental solutions for 3D time harmonic elastic wave propagation analysis ⋮ Solving the <scp>2D</scp> and <scp>3D</scp> nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method ⋮ Transient analyses of wave propagations in nonhomogeneous media employing the novel finite element method with the appropriate enrichment function ⋮ A connection element method: both a new computational method and a physical data-driven framework -- take subsurface two-phase flow as an example ⋮ Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically ⋮ A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique ⋮ Homogenization function method for time-fractional inverse heat conduction problem in 3D functionally graded materials ⋮ Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals ⋮ Analysis of transient wave propagation dynamics using the enriched finite element method with interpolation cover functions ⋮ Application of the least-square meshless method to gas-water flow simulation of complex-shape shale gas reservoirs ⋮ An enriched finite element method with interpolation cover functions for acoustic analysis in high frequencies ⋮ Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains ⋮ An efficient localized meshless technique for approximating nonlinear sinh-Gordon equation arising in surface theory ⋮ A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading ⋮ A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media

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