Search for dissertations about: "local time-stepping"

Showing result 1 - 5 of 12 swedish dissertations containing the words local time-stepping.

2. 1. Efficient Simulation of Wave Phenomena

   Author : Martin Almquist; Ken Mattsson; Gianluca Iaccarino; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite difference method; high-order accuracy; stability; summation by parts; simultaneous approximation term; quantum mechanics; Dirac equation; local time-stepping; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Abstract : Wave phenomena appear in many fields of science such as acoustics, geophysics, and quantum mechanics. They can often be described by partial differential equations (PDEs). As PDEs typically are too difficult to solve by hand, the only option is to compute approximate solutions by implementing numerical methods on computers. READ MORE

4. 2. Adaptive Finite Element Procedures in Structural Dynamics

   Author : Xiangdong Li; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; finite element; h-adaptivity; Newmark method; structural dynamics; space-time; a posteriori; superconvergent patch recovery; postprocessing; automatic time-stepping; semidiscretization; error estimation; discontinuous Galerkin;

   Abstract : This thesis deals with a posteriori error estimation and adaptivity in finite element procedures for the analysis of structural dynamic problems. First, error estimation and adaptivity for the Newmark time integration method are studied. READ MORE

5. 3. Nonlinear dynamics of flexible structures using corotational beam elements

   Author : Thanh-Nam Le; Jean-Marc Battini; Reijo Kouhia; KTH; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; corotational method; nonlinear dynamics; large displacements; finite rotations; time stepping method; thin-walled cross-section; beam element;

   Abstract : The purpose of this thesis is to develop corotational beam elements for the nonlinear dynamic analyse of flexible beam structures. Whereas corotational beam elements in statics are well documented, the derivation of a corotational dynamic formulation is still an issue. READ MORE

6. 4. Efficient Solvers for Space-Time Discontinuous Galerkin Spectral Element Methods

   Author : Lea Miko Versbach; Numerisk analys; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Discontinuous Galerkin Method; Spectral Element Method; Finite Volume Method; Implicit Schemes; Preconditioner; Multigrid Method; Space-Time; Lobatto IIIC Method; Local Fourier Analysis;

   Abstract : In this thesis we study efficient solvers for space-time discontinuous Galerkin spectral element methods (DG-SEM). These discretizations result in fully implicit schemes of variable order in both spatial and temporal directions. READ MORE

7. 5. A vertex-centered discontinuous Galerkin method for flow problems

   Author : Sven-Erik Ekström; Martin Berggren; Per Lötstedt; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Abstract : The understanding of flow problems, and finding their solution, has been important for most of human history, from the design of aqueducts to boats and airplanes. The use of physical miniature models and wind tunnels were, and still are, useful tools for design, but with the development of computers, an increasingly large part of the design process is assisted by computational fluid dynamics (CFD). READ MORE