Element-free Galerkin methods in combination with finite element approaches

Meshless Local Petrov-Galerkin (MLPG) method in combination with finite element and boundary element approaches

(2000) Meshless local Petrov–Galerkin (MLPG) method in combination with finite element and boundary element approaches. Abstract The Meshless Local Petrov-Galerkin (MLPG) method is an effective truly meshless method for solving partial differential equations using Moving Least Squares (MLS) interpolants. It is, however, computationally expensive for some problems. A coupled MLPG/Finite Element ...

Galerkin Approximations and Finite Element Methods

Parallel Iterative Discontinuous Galerkin Finite-element Methods

We compare an iterative asynchronous parallel algorithm for the solution of partial diierential equations, with a synchronous algorithm , in terms of termination detection schemes and performance. Both algorithms are based on discontinuous Galerkin nite-element methods, in which the local elements provide a natural decomposition of the problem into computationally-independent sets. We demonstra...

Coupling Nonlinear Element Free Galerkin and Linear Galerkin Finite Volume Solver for 2D Modeling of Local Plasticity in Structural Material

This paper introduces a computational strategy to collaboratively develop the Galerkin Finite Volume Method (GFVM) as one of the most straightforward and efficient explicit numerical methods to solve structural problems encountering material nonlinearity in a small limited area, while the remainder of the domain represents a linear elastic behavior. In this regard, the Element Free Galerkin met...

Coupling Methods for Interior Penalty Discontinuous Galerkin Finite Element Methods and Boundary Element Methods

This paper presents three new coupling methods for interior penalty discontinuous Galerkin finite element methods and boundary element methods. The new methods allow one to use discontinuous basis functions on the interface between the subdomains represented by the finite element and boundary element methods. This feature is particularly important when discontinuous Galerkin finite element meth...