D. Koyama: Error estimates of the
DtN finite element method for the
exterior Helmholtz problem.
Journal of Computational and Applied Mathematics,
Vol. 200, No. 1, pp. 21--31 (2007).
小山 大介:
仮想領域法において生ずる制約行列の計算法
−四面体と三角形との交差部分の三角形分割アルゴリズム−.
日本応用数理学会論文誌,Vol.15, No.4, pp. 571--587 (2005).
(2006年度日本応用数理学会論文賞受賞)
D. Koyama: Well-posedness of the wave equation with an artificial
boundary condition.
Advances in Mathematical Sciences and Applications Vol. 15, No. 2,
pp. 545--558 (2005).
D. Koyama: Application of a fictitious domain method to 3D
Helmholtz problems. 京都大学数理解析研究所講究録 No. 1320, pp. 37--46 (2003). (PDF)
H. M. Nasir, T. Kako, and D. Koyama: A mixed-type finite element
approximation for radiation problems using fictitious domain method.
Journal of Computational and Applied Mathematics Vol. 152,
pp. 377-392, (2003).
D. Koyama: A controllability method with an artificial boundary
condition for the exterior Helmholtz problem. Japan Journal of Industrial and Applied Mathematics, Vol. 20, No. 1,
pp. 117-145, (2003).
D. Koyama: An artificial boundary condition for the numerical
computation of scattering waves. Proceedings of 12th International
Conference on Domain Decomposition Methods, pp. 401--409, (2001).
D. Koyama: A time-dependent numerical algorithm for the Helmholtz equation. 京都大学数理解析研究所講究録 No. 1145, pp. 113--120 (2000).
D. Koyama, K. Tanimoto, and T. Ushijima: Finite element analysis for the eigenvalue problem of the linear water wave in a water region with a reentrant corner. Japan Journal of Industrial and Applied Mathematics, Vol. 15, No. 3, pp. 395-422, (1998).