#finite element method
14 papers match
An Adaptive Finite Element Method for Marker-Driven Level-Set Transport on Hierarchical Meshes
Eugenio Aulisa, Samuele Baldini, Giacomo Barbi +2
The paper introduces an adaptive finite-element framework that uses hierarchical meshes and marker transport to efficiently and accurately capture moving interfaces in level-set ba…
Advanced EEG Source Models from the Perspective of FEM and Inverse Solutions
Santtu Söderholm, Joonas Lahtinen, Sampsa Pursiainen
The paper compares finite element forward models for EEG using different source representations and evaluates several inverse localization methods, finding that matching the source…
Galerkin Approximation of the Fractional Hardy Constant
Andreea Dima, Liviu I. Ignat
The paper derives sharp estimates for the discrete optimal constant in the fractional Hardy inequality and analyzes convergence rates of a Galerkin finite element method with piece…
Optimal Error Estimates of a Finite Element Method for Semilinear SPDEs with Additive Noise and Nonsmooth Initial Data
Jitendra Nath Naik, Lok Pati Tripathi
The paper analyzes strong error bounds for finite element spatial discretizations combined with a linearly implicit Euler time scheme applied to semilinear parabolic SPDEs with add…
Numerical approach to the London Equation of superconductivity
Nicolás Barnafi, Ignacio Labarca-Figueroa, Carlos Román
The paper introduces a FEM‑BEM coupling discretization to solve the London equation for type‑II superconductors in three dimensions and uses it to compute magnetic fields and analy…
Strong imposition of Dirichlet boundary velocities in structure-preserving discretizations of elastodynamics
Cristobal Ponce, Hector Ramirez, Yongxin Wu +2
The paper proposes a method to strongly enforce Dirichlet boundary velocities in finite element discretizations of elastodynamic port-Hamiltonian systems by using an additive kinem…