Computation of volume potentials over bounded domains via approximate approximations

DOI10.1007/s10958-013-1203-2zbMath1273.65040arXiv1210.7084OpenAlexW2051030571MaRDI QIDQ354825

Gunther Schmidt, Vladimir Gilelevich Maz'ya, Flavia Lanzara

Publication date: 22 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7084

zbMATH Keywords

convergenceHelmholtz operatorcubature formulabounded domainsvolume potentialapproximate approximation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (4)

PMA celebrates the 85th birthday of V. G. Maz'ya ⋮ Approximation of solutions to equations in static thermoelasticity ⋮ Fast cubature of volume potentials over rectangular domains by approximate approximations ⋮ Approximate approximations: recent developments in the computation of high dimensional potentials

Cites Work

• On the computation of multi-dimensional single layer harmonic potentials via approximate approximations
• Towards a General Error Theory of the Trapezoidal Rule
• On the fast computation of high dimensional volume potentials

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