3D MT anisotropic inversion based on finite‐element method with unstructured grids

3D Inversion of Magnetic Data through Wavelet based Regularization Method

This study deals with the 3D recovering of magnetic susceptibility model by incorporating the sparsity-based constraints in the inversion algorithm. For this purpose, the area under prospect was divided into a large number of rectangular prisms in a mesh with unknown susceptibilities. Tikhonov cost functions with two sparsity functions were used to recover the smooth parts as well as the sharp ...

Cache Based Multigrid on Unstructured Grids

A Gauss-Seidel variant is developed which maintains data in the L2 cache memory longer than and runs approximately twice as fast as standard implementations. This variant depends on a decomposition of grid nodes into blocks which t into cache. We discuss two O(n) algorithms which perform a one-time reordering of the grid nodes and associated operators. Numerical tests demonstrate the speedups p...

Transonic Turbulent Flow Computations on Unstructured Triangular Grids

A New Implicit Dissipation Term for Solving 3D Euler Equations on Unstructured Grids by GMRES+LU-SGS Scheme

Due to improvements in computational resources, interest has recently increased in using implicit scheme for solving flow equations on 3D unstructured grids. However, most of the implicit schemes produce greater numerical diffusion error than their corresponding explicit schemes. This stems from the fact that in linearizing implicit fluxes, it is conventional to replace the Jacobian matrix in t...

Efficient Quadrature-Free 3D High-Order Spectral Volume Method on Unstructured Grids

The high-order spectral volume (SV) method has been extended for solving 3D hyperbolic conservation laws, and its implementation using an efficient quadrature-free approach has been performed to achieve high efficiency while maintaining accuracy. In the SV method, in order to perform a high-order polynomial reconstruction, each simplex cell – called a spectral volume (SV) – is partitioned into ...