Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation
We present a method to achieve transparent boundary conditions for the one-dimensional wave equation, and show its numerical implementation using a finite-difference method. We also present an alternative method for building the same transparent boundary conditions using a Dirac-like equation an...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/22/v2/abstr.html |
| _version_ | 1811295798036529152 |
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| author | M. Pilar Velasco David Usero Salvador Jimenez Luis Vazquez |
| author_facet | M. Pilar Velasco David Usero Salvador Jimenez Luis Vazquez |
| author_sort | M. Pilar Velasco |
| collection | DOAJ |
| description | We present a method to achieve transparent boundary conditions
for the one-dimensional wave equation, and show its numerical implementation
using a finite-difference method. We also present an alternative method for
building the same transparent boundary conditions using a Dirac-like equation
and a Spinor-like formalism. Finally, we extend our method to the
three-dimensional wave equation with radial symmetry. |
| first_indexed | 2024-04-13T05:38:51Z |
| format | Article |
| id | doaj.art-d3f5c1e471ab49119cd6d4c2676a05a8 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T05:38:51Z |
| publishDate | 2015-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-d3f5c1e471ab49119cd6d4c2676a05a82022-12-22T03:00:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-11-01201522117137Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equationM. Pilar Velasco0David Usero1Salvador Jimenez2Luis Vazquez3 Academia General Militar, Zaragoza, Spain Univ. Complutense de Madrid, Spain Univ. Politecnica de Madrid, Spain Univ. Complutense de Madrid, Spain We present a method to achieve transparent boundary conditions for the one-dimensional wave equation, and show its numerical implementation using a finite-difference method. We also present an alternative method for building the same transparent boundary conditions using a Dirac-like equation and a Spinor-like formalism. Finally, we extend our method to the three-dimensional wave equation with radial symmetry.http://ejde.math.txstate.edu/conf-proc/22/v2/abstr.htmlWave equationtransparent boundary conditionDirac-type equation |
| spellingShingle | M. Pilar Velasco David Usero Salvador Jimenez Luis Vazquez Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation Electronic Journal of Differential Equations Wave equation transparent boundary condition Dirac-type equation |
| title | Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation |
| title_full | Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation |
| title_fullStr | Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation |
| title_full_unstemmed | Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation |
| title_short | Transparent boundary conditions for the wave equation in one dimension and for a Dirac-like equation |
| title_sort | transparent boundary conditions for the wave equation in one dimension and for a dirac like equation |
| topic | Wave equation transparent boundary condition Dirac-type equation |
| url | http://ejde.math.txstate.edu/conf-proc/22/v2/abstr.html |
| work_keys_str_mv | AT mpilarvelasco transparentboundaryconditionsforthewaveequationinonedimensionandforadiraclikeequation AT davidusero transparentboundaryconditionsforthewaveequationinonedimensionandforadiraclikeequation AT salvadorjimenez transparentboundaryconditionsforthewaveequationinonedimensionandforadiraclikeequation AT luisvazquez transparentboundaryconditionsforthewaveequationinonedimensionandforadiraclikeequation |