An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics

The Parallelization of an Adaptive Multigrid Eigenvalue Solver with LPARX

We have developed a parallel adaptive eigenvalue solver and applied it to a model problem in theoretical materials science. Our method combines adaptive mesh reenement techniques with a novel multigrid eigenvalue algorithm. By exploiting adaptivity, we have reduced computation time and memory consumption by more than two orders of magnitude. We have implemented our solver using the LPARX parall...

Adaptive Multigrid Methods for Signorini’s Problem in Linear Elasticity

Contact problems in computational mechanics are of significant importance for a variety of practical applications. Examples are metal forming processes, crash analysis, the design of gear boxes, bearings, car tires or implants in biomechanics. Here, we focus on Signorini’s problem in linear elasticity [10, 21, 22, 29] describing the linearized frictionless contact of an elastic body with a rigi...

Adaptive Multigrid Methods for Signorini's Problem in Linear Elasti ity

Parallel Multigrid in an Adaptive PDE Solver Based on Hashing

Partial diierential equations can be solved eeciently by adaptive multigrid methods on a parallel computer. We report on the concept of hash-table storage techniques to set up such a code. The code requires substantial less amount of memory and is easier to code in the sequential case. The parallelization takes place by a space lling curve domain decomposition intimately connected to the hash t...

Multigrid Methods for Computational Acoustics on Vector and Parallel Computers

We consider the parabolic approximation to the three{dimensional Helmholtz equation for the acoustic pressure. The parabolic equation is semi{discretized in the range variable using an implicit scheme (e.g., Crank{Nicolson). This leads to a complex elliptic partial di erential equation that must be solved at each range step. We use a multigrid method to solve this partial di erential equation, ...