# Mathematical Software - Finite Element Method - Metfem3d

This software contains a 3D mesh generator optimized with the Metropolis algorithm together with routines based on the Finite Element Method (FEM) allowing to solve initial-boundary value linear differential equations (lde). This differential solver can be applied to both Dirichlet and Neumann boundary conditions. metfem3d enables to produce meshes with a prescribed size h of elements which serve as standard discrete patterns for the Finite Element Method (FEM). This mesh generation routine is additionally strengthen by applying the Delaunay triangulation algorithm. Appropriate meshes together with the FEM approach constitute an effective tool to deal with various differential equations.
The metfem3d is written in Java and can be run on various operating systems. It is designed for Java(TM) SE Runtime Environment version 6 and highers.
Category: Mathematical Software Brand: Metfem3d
Created by: Ilona Dominika Kosińska

Status: In preparation.

To test this software partially, go to Online 3d-Mesh Generator Page.

## METFEM3D 1.0 RELEASE

 3D MESH GENERATOR various domain shapes image-based shapes mesh statistics LINEAR DIFFERENTIAL EQUATIONS - SPATIAL PART Up to second order LDE Coefficients in LDE as constants Coefficients in LDE as known functions of position LINEAR DIFFERENTIAL EQUATIONS - TIME DEPENDENT Up to second order in time LDE Coefficients in time-dependent part of LDE as constants Coefficients in time-dependent part of LDE as known functions LINEAR DIFFERENTIAL EQUATIONS - BOUNDARY CONDITIONS Boundary condition of the Dirichlet type Boundary condition of the Neumann type Boundary condition of the Mixed type LINEAR DIFFERENTIAL EQUATIONS - INITIAL CONDITIONS Initial-value LDE FINITE ELEMENT METHOD - SPATIAL PART Linear FEM approximation Quadratic FEM approximation Cubic FEM approximation FINITE ELEMENT METHOD - TIME APPROXIMATION Weighted Residual Approach Taylor Collocation Method