A fast sparse grid based space–time boundary element method for the nonstationary heat equation

[1]  J. Dicapua Chebyshev Polynomials , 2019, Fibonacci and Lucas Numbers With Applications.

[2]  Johannes Tausch,et al.  An Efficient Galerkin Boundary Element Method for the Transient Heat Equation , 2015, SIAM J. Sci. Comput..

[3]  Johannes Tausch,et al.  A fast Galerkin method for parabolic space-time boundary integral equations , 2014, J. Comput. Phys..

[4]  Michael Griebel,et al.  On the construction of sparse tensor product spaces , 2012, Math. Comput..

[5]  Andreas Zeiser,et al.  Fast Matrix-Vector Multiplication in the Sparse-Grid Galerkin Method , 2011, J. Sci. Comput..

[6]  Christoph Winter,et al.  Wavelet Galerkin Schemes for Multidimensional Anisotropic Integrodifferential Operators , 2010, SIAM J. Sci. Comput..

[7]  Rob P. Stevenson,et al.  Space-time adaptive wavelet methods for parabolic evolution problems , 2009, Math. Comput..

[8]  Michael Griebel,et al.  A sparse grid space-time discretization scheme for parabolic problems , 2007, Computing.

[9]  Johannes Tausch,et al.  A fast method for solving the heat equation by layer potentials , 2007, J. Comput. Phys..

[10]  H. Bungartz,et al.  Sparse grids , 2004, Acta Numerica.

[11]  Michael Griebel,et al.  Sparse grids for boundary integral equations , 1999, Numerische Mathematik.

[12]  Stefan A. Sauter,et al.  Efficient automatic quadrature in 3-d Galerkin BEM , 1998 .

[13]  Christoph Zenger,et al.  The Solution of Multidimensional Real Helmholtz Equations on Sparse Grids , 1996, SIAM J. Sci. Comput..

[14]  Martin Costabel,et al.  Boundary integral operators for the heat equation , 1990 .

[15]  N. Reich,et al.  Wavelet compression of anisotropic integrodifferential operators on sparse tensor product spaces , 2010 .

[16]  Wolfgang Hackbusch,et al.  A Sparse Matrix Arithmetic Based on H-Matrices. Part I: Introduction to H-Matrices , 1999, Computing.

[17]  Hans-Joachim Bungartz,et al.  A multigrid algorithm for higher order finite elements on sparse grids. , 1997 .

[18]  P. Noon The Single Layer Heat Potential and Galerkin Boundary Element Methods for the Heat Equation , 1988 .