Found 543 results, showing the newest relevant preprints. Sort by relevancy only.Update me on new preprints

$P_1$--nonconforming polyhedral finite elements in high dimensions

We consider the lowest--degree nonconforming finite element methods for the approximation of elliptic problems in high dimensions. Expand abstract.
4 days ago
10/10 relevant
arXiv

A Moving Mesh Method for Modelling Defects in Nematic Liquid Crystals

The properties of liquid crystals can be modelled using an order parameter which describes the variability of the local orientation of rod-like molecules. Expand abstract.
9 days ago
7/10 relevant
arXiv

A Conservative Finite Element ALE Scheme for Mass-Conserving Reaction-Diffusion Equations on Evolving Two-Dimensional Domains

Global conservation of the fully discrete finite element solution is established independently of the ALE velocity field and the time step size. Expand abstract.
9 days ago
4/10 relevant
arXiv

A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations

We present new discretisation of the moist compressible Euler equations, using the compatible finite element framework identified in Cotter and Shipton (2012). Expand abstract.
10 days ago
10/10 relevant
arXiv

A high accuracy nonconforming finite element scheme for Helmholtz transmission eigenvalue problem

In this paper, we consider a cubic $H^2$ nonconforming finite element scheme $B_{h0}^3$ which does not correspond to a locally defined finite element with Ciarlet$'$s triple but admit a set of local basis functions. Expand abstract.
12 days ago
10/10 relevant
arXiv

Isogeometric analysis in option pricing

Presented solution by finite element method is especially useful for practitioners dealing with derivatives where closed-form solution is not available. Expand abstract.
13 days ago
5/10 relevant
arXiv

$H^1$-norm error estimate for a nonstandard finite element approximation of second-order linear elliptic PDEs in non-divergence form

This paper establishes the optimal $H^1$-norm error estimate for a nonstandard finite element method for approximating $H^2$ strong solutions of second order linear elliptic PDEs in non-divergence form with continuous coefficients. Expand abstract.
14 days ago
10/10 relevant
arXiv

An adaptive edge-based smoothed finite element method (ES-FEM) for phase-field modeling of fractures at large deformations

The ES-FEM is an excellent member of the S-FEM family developed in combination with meshless ideas and finite element method (FEM), which is characterized by higher accuracy, softer stiffness, and insensitive to mesh distortion. Expand abstract.
20 days ago
10/10 relevant
arXiv

Galerkin Finite Element Method for Nonlinear Riemann-Liouville and Caputo Fractional Equations

Then, we develop a Galerkin finite element approach to proceed the numerical approximation of the weak formulations and prove a priori error estimations. Expand abstract.
26 days ago
10/10 relevant
arXiv

Higher order Trace Finite Element Methods for the Surface Stokes Equation

Higher order geometry approximation is obtained by using a parametric trace finite element technique, known from the literature on trace finite element methods for scalar surface partial differential equations. Expand abstract.
26 days ago
10/10 relevant
arXiv