This dissertation presents a multilevel algorithm to solve constant and variable coeffcient elliptic boundary value problems on adaptively refined structured meshes in 2D and 3D. Cacheaware algorithms for optimizing the operations to exploit the cache memory subsystem areshown. Keywords: Multigrid, Cache Aware, Adaptive Mesh Refinement, Partial Differential Equations, Numerical Solution
*Abstract. * For the solution of convection-diffusion problems we present a multilevel self-adaptive...
In this paper we describe in detail the computational algorithm used by our parallel multigrid ellip...
Abstract. Competitive numerical algorithms for solving partial differential equations have to work w...
This dissertation presents a multilevel algorithm to solve constant and variable coeffcient elliptic...
In prior-research the authors have demonstrated that, for stencil-based numerical solvers for Partia...
Many current computer designs employ caches and a hierarchical memory architecture. The speed of a c...
Abstract. Many current computer designs employ caches and a hierarchical memory architec-ture. The s...
Partial Differential Equations (PDEs) are used ubiquitously in modelling natural phenomena. It is ge...
Adaptive refinement and the complicated data structures required to support it are discussed. These ...
We present a case study to improve the cache efficiency for a simulation on a tetrahedral bisection-...
We will present an approach to numerical simulation on recursively structured adaptive discretisatio...
This thesis deals with the formulation of a computationally efficient multiple-grid adaptive differe...
Stencil computations form the heart of numerical simulations to solve Partial Differential Equations...
In this dissertation, we examine several different aspects of computing the numerical solution of th...
We present a novel method for computing cache-oblivious layouts of large meshes that improve the per...
*Abstract. * For the solution of convection-diffusion problems we present a multilevel self-adaptive...
In this paper we describe in detail the computational algorithm used by our parallel multigrid ellip...
Abstract. Competitive numerical algorithms for solving partial differential equations have to work w...
This dissertation presents a multilevel algorithm to solve constant and variable coeffcient elliptic...
In prior-research the authors have demonstrated that, for stencil-based numerical solvers for Partia...
Many current computer designs employ caches and a hierarchical memory architecture. The speed of a c...
Abstract. Many current computer designs employ caches and a hierarchical memory architec-ture. The s...
Partial Differential Equations (PDEs) are used ubiquitously in modelling natural phenomena. It is ge...
Adaptive refinement and the complicated data structures required to support it are discussed. These ...
We present a case study to improve the cache efficiency for a simulation on a tetrahedral bisection-...
We will present an approach to numerical simulation on recursively structured adaptive discretisatio...
This thesis deals with the formulation of a computationally efficient multiple-grid adaptive differe...
Stencil computations form the heart of numerical simulations to solve Partial Differential Equations...
In this dissertation, we examine several different aspects of computing the numerical solution of th...
We present a novel method for computing cache-oblivious layouts of large meshes that improve the per...
*Abstract. * For the solution of convection-diffusion problems we present a multilevel self-adaptive...
In this paper we describe in detail the computational algorithm used by our parallel multigrid ellip...
Abstract. Competitive numerical algorithms for solving partial differential equations have to work w...