My master thesis

Scalable solving of boundary element methods utilizing the Green cross approximation method and GPUs

This project is maintained by Bennet Carstensen

References

[1] Börm, S. & Christophersen, S. (2015). Approximation of integral operators by Green quadrature and nested cross approximation. Numerische Mathematik, 409-442.

[2] Hackbusch, W., & Nowak, Z. P. (1989). On the fast matrix multiplication in the boundary element method by panel clustering. Numerische Mathematik, 54(4), 463-491.

[3] Hackbusch, W., & Börm, S. (2002). H2-matrix approximation of integral operators by interpolation. Applied Numerical Mathematics, 43(1-2), 129-143.

[4] Tyrtyshnikov, E. (1996). Mosaic-skeleton approximations. Calcolo, 33(1-2), 47-57.

[5] Bebendorf, M., & Grzibovski, R. (2006). Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation.

[6] Börm, S., & Grasedyck, L. (2005). Hybrid cross approximation of integral operators. Numerische Mathematik, 101(2), 221-249.

[7] Börm, S., & Christophersen, S. (2015). Approximation of BEM matrices using GPGPUs. arXiv preprint arXiv:1510.07244.

[8] Grasedyck, L., & Hackbusch, W. (2003). Construction and arithmetics of H-matrices. Computing, 70(4), 295-334.

[9] Hackbusch, W., Khoromskij, B., & Sauter, S. A. (2000). On -matrices. In Lectures on applied mathematics (pp. 9-29). Springer Berlin Heidelberg.

[10] Hackbusch, W., & Börm, S. (2002). Data-sparse approximation by adaptive -matrices. Computing, 69(1), 1-35.

[11] Hackbusch, W. (1992). Elliptic differential equations : theory and numerical treatment. Springer series in computational mathematics, Springer-Verlag Berlin Heidelberg.