Wissenschaftliche Artikel

Faustmann, M., Marcati, C., Melenk, J. M., & Schwab, C. (2022). Weighted Analytic Regularity for the Integral Fractional Laplacian in Polygons. SIAM Journal on Mathematical Analysis, 54(6), 6323–6357. https://doi.org/10.1137/21M146569X ( reposiTUm)
Erath, C., Mascotto, L., Melenk, J. M., Perugia, I., & Rieder, A. (2022). Mortar Coupling of 𝘩𝘱-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation. Journal of Scientific Computing, 92(1), Article 2. https://doi.org/10.1007/s10915-022-01849-0 ( reposiTUm)
Rieder, A., Sayas, F.-J., & Melenk, J. M. (2022). Time domain boundary integral equations and convolution quadrature for scattering by composite media. Mathematics of Computation, 91(337), 2165–2195. https://doi.org/10.1090/mcom/3730 ( reposiTUm)
Melenk, J. M., & Rieder, A. (2022). An exponentially convergent discretization for space–time fractional parabolic equations using 𝘩𝘱-FEM. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drac045 ( reposiTUm)
Faustmann, M., Melenk, J. M., & Parvizi, M. (2022). 𝘏-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. Advances in Computational Mathematics, 48(5), Article 59. https://doi.org/10.1007/s10444-022-09965-z ( reposiTUm)
Faustmann, M., Karkulik, M., & Melenk, J. M. (2022). Local Convergence of the FEM for the Integral Fractional Laplacian. SIAM Journal on Numerical Analysis, 60(3), 1055–1082. https://doi.org/10.1137/20M1343853 ( reposiTUm)

Präsentationen

Achleitner, F., Arnold, A., Carlen, E., Jüngel, A., & Mehrmann, V. (2024, June 12). The Hypocoercivity Index for the short time behavior of linear time-invariant ODE systems [Conference Presentation]. EQUADIFF Conference 2024, Karlstad, Sweden. http://hdl.handle.net/20.500.12708/198613 ( reposiTUm)
Melenk, J. M., Schwab, Ch., & Banjai, L. (2022, November). hp-FEM for the spectral fracational Laplacian [Conference Presentation]. BAIL 2022, Argentina. http://hdl.handle.net/20.500.12708/153739 ( reposiTUm)
Melenk, J. M., Faustmann, M., & Karkulik, M. (2022, August). local error analysis for nonlocal operators [Keynote Presentation]. Boundary Elements and Friends, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/154011 ( reposiTUm)
Melenk, J. M., Faustmann, M., & Karkulik, M. (2022, September). local error analysis for nonlocal operators [Conference Presentation]. Chemnitz FEM Symposium 2022 (Herrsching), Germany. http://hdl.handle.net/20.500.12708/154013 ( reposiTUm)
Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, November). weighted analytic regularity for the integral fractional Laplacian [Presentation]. one world numerical analysis seminar, Germany. http://hdl.handle.net/20.500.12708/154398 ( reposiTUm)
Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, February). weighted analytic regularity for the integral fractional Laplacian [Keynote Presentation]. nonlocal operators at NUS, Singapore, Singapore. http://hdl.handle.net/20.500.12708/154394 ( reposiTUm)
Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, February). weighted analytic regularity for the integral fractional Laplacian [Keynote Presentation]. BI-discrete 2022, Bielefeld, Germany. http://hdl.handle.net/20.500.12708/154392 ( reposiTUm)
Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, November). weighted analytic regularity for the integral fractional Laplacian [Keynote Presentation]. Journees singulieres, France. http://hdl.handle.net/20.500.12708/154389 ( reposiTUm)
Melenk, J. M., Faustmann, M., Schwab, Ch., & Marcati, C. (2022, November). weighted analytic regularity for the integral fractional Laplacian [Keynote Presentation]. BAIL 2022, Argentina. http://hdl.handle.net/20.500.12708/154397 ( reposiTUm)
Melenk, J. M., Banjai, L., Schwab, Ch., & Rieder, A. (2022, September). hp-FEM for the spectral fractional Laplacian [Keynote Presentation]. CMAM-9 (TU Wien), Austria. http://hdl.handle.net/20.500.12708/153740 ( reposiTUm)