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Volumn 75, Issue 254, 2006, Pages 565-594

A nonlinear approach to absorbing boundary conditions for the semilinear wave equation

Author keywords

Absorbing boundary conditions; Paradifferential calculus; Semilinear wave equation

Indexed keywords


EID: 33646388273     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-06-01820-5     Document Type: Article
Times cited : (22)

References (22)
  • 1
    • 84968517988 scopus 로고
    • Réflexion transverse des singularités pour un problème aux limites non linéaire d'ordre 2
    • MR0786901 (86m:35032)
    • A. Alabidi, Réflexion transverse des singularités pour un problème aux limites non linéaire d'ordre 2, C. R. A. S, série I-10 t.300 (1985). MR0786901 (86m:35032)
    • (1985) C. R. A. S, Série I-10 , vol.300
    • Alabidi, A.1
  • 2
    • 0000985886 scopus 로고    scopus 로고
    • Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation
    • MR1756419 (2002c:65037)
    • B. Alpert, L. Greengard, T. Hagstrom, Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation, SIAM J. Numer. Anal. 37 (2000), 1138-1164. MR1756419 (2002c:65037)
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1138-1164
    • Alpert, B.1    Greengard, L.2    Hagstrom, T.3
  • 3
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • MR1294924 (95e:78002)
    • J. P. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 114 (1994), 185-200. MR1294924 (95e:78002)
    • (1994) J. Comput. Phys. , vol.114 , pp. 185-200
    • Berenger, J.P.1
  • 4
    • 0001191104 scopus 로고
    • Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
    • MR0631751 (84h:35177)
    • éme série). 14 (1981), 209-246. MR0631751 (84h:35177)
    • (1981) éme Série) , vol.14 , pp. 209-246
    • Bony, J.M.1
  • 5
    • 0003312241 scopus 로고
    • Fluides parfaits incompressibles
    • MR1340046 (97d:76007)
    • J. Y. Chemin, Fluides parfaits incompressibles, Astérisque 230 (1995). MR1340046 (97d:76007)
    • (1995) Astérisque , vol.230
    • Chemin, J.Y.1
  • 7
    • 84980151986 scopus 로고
    • Radiation boundary conditions for acoustic and elastic wave calculations
    • MR0517938 (80e:76041)
    • B. Engquist, A. Majda, Radiation boundary conditions for acoustic and elastic wave calculations, Comm. Pure and Appl. Math. 32 (1979), 313-357. MR0517938 (80e:76041)
    • (1979) Comm. Pure and Appl. Math. , vol.32 , pp. 313-357
    • Engquist, B.1    Majda, A.2
  • 8
    • 0029292813 scopus 로고
    • Exact nonreflecting boundary conditions for the time dependent wave equation
    • MR1322761 (95m:35125)
    • M. Grote, J. Keller, Exact nonreflecting boundary conditions for the time dependent wave equation, SIAM J. Appl. Math. 55 (1995), 280-297. MR1322761 (95m:35125)
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 280-297
    • Grote, M.1    Keller, J.2
  • 9
    • 85011457104 scopus 로고    scopus 로고
    • Radiation boundary conditions for the numerical simulation of waves
    • MR1819643 (2002c:35171)
    • T. Hagstrom, Radiation boundary conditions for the numerical simulation of waves, Acta Numer. 8 (1999), 47-106. MR1819643 (2002c:35171)
    • (1999) Acta Numer. , vol.8 , pp. 47-106
    • Hagstrom, T.1
  • 10
    • 21844512856 scopus 로고
    • Absorbing boundary conditions for diffusion equations
    • MR1347164 (96h:65152)
    • L. Halpern, J. Rauch, Absorbing boundary conditions for diffusion equations, Numer. Math. 71 (1995), 185-224. MR1347164 (96h:65152)
    • (1995) Numer. Math. , vol.71 , pp. 185-224
    • Halpern, L.1    Rauch, J.2
  • 13
    • 11744350396 scopus 로고
    • Free-space boundary conditions for the time dependent wave equation
    • E. L. Lindmann, Free-space boundary conditions for the time dependent wave equation, J. Comp. Phys. 18 (1975), 16-78.
    • (1975) J. Comp. Phys. , vol.18 , pp. 16-78
    • Lindmann, E.L.1
  • 14
    • 84980162566 scopus 로고
    • Reflection of singularities at the boundary
    • MR0492792 (58:11858a)
    • A. Majda, S. Osher, Reflection of singularities at the boundary, Comm. Pure and Appl. Math. 28 (1975), 479-499. MR0492792 (58:11858a)
    • (1975) Comm. Pure and Appl. Math. , vol.28 , pp. 479-499
    • Majda, A.1    Osher, S.2
  • 15
    • 0002141527 scopus 로고
    • Remarques sur un théorème de J. M. Bony
    • MR0639462 (83b:35169)
    • Y. Meyer, Remarques sur un théorème de J. M. Bony, Suppl. ai Rend. del Circolo mat. di Palermo (1981), 1-20. MR0639462 (83b:35169)
    • (1981) Suppl. Ai Rend. Del Circolo Mat. di Palermo , pp. 1-20
    • Meyer, Y.1
  • 16
    • 33646398089 scopus 로고
    • Lectures on linear partial differential equations
    • AMS, Providence, RI, MR0450755 (56:9048)
    • L. Nirenberg, Lectures on Linear Partial Differential Equations, CBMS Reg. Conf. 17, AMS, Providence, RI, 1976. MR0450755 (56:9048)
    • (1976) CBMS Reg. Conf. , vol.17
    • Nirenberg, L.1
  • 17
    • 0001801147 scopus 로고
    • Régularité microlocale pour des problèmes aux limites non linéaires
    • MR0840713 (88b:35021)
    • M. Sablé-Tougeron, Régularité microlocale pour des problèmes aux limites non linéaires, Ann. Inst. Fourier. 36 (1986), 39-82. MR0840713 (88b:35021)
    • (1986) Ann. Inst. Fourier. , vol.36 , pp. 39-82
    • Sablé-Tougeron, M.1
  • 18
    • 0009035492 scopus 로고
    • Lectures on nonlinear wave equation
    • International Press, Boston, MR1715192 (2000g:35153)
    • C. D. Sogge, Lectures on nonlinear wave equation, Monographs in Analysis, International Press, Boston, 1995. MR1715192 (2000g:35153)
    • (1995) Monographs in Analysis
    • Sogge, C.D.1
  • 19
    • 0037389724 scopus 로고    scopus 로고
    • Absorbing boundary conditions for reaction diffusion equation
    • MR1968310 (2004k:35219)
    • J. Szeftel, Absorbing boundary conditions for reaction diffusion equation, IMA J. Appl. Math. 68 (2003), 167-184. MR1968310 (2004k:35219)
    • (2003) IMA J. Appl. Math. , vol.68 , pp. 167-184
    • Szeftel, J.1
  • 21
    • 84966217680 scopus 로고
    • Well-posedness of one-way wave equations and absorbing boundary conditions
    • MR0856695 (88b:65148)
    • L. Trefethen, L. Halpern, Well-posedness of one-way wave equations and absorbing boundary conditions, Math. Comput. 47 (1986), 421-435. MR0856695 (88b:65148)
    • (1986) Math. Comput. , vol.47 , pp. 421-435
    • Trefethen, L.1    Halpern, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.