Yassine Boubendir
Education
Ph.D.; Universite de Toulouse, France; ; 2002
M.S.; University of Paul, France; ; 1996
B.S.; University of Constantine, Algeria; ; 1993
M.S.; University of Paul, France; ; 1996
B.S.; University of Constantine, Algeria; ; 1993
2025 Spring Courses
MATH 331 - INTRO PARTIAL DIFF EQ
MATH 790A - DOCT DISSERTATION & RES
MATH 790A - DOCT DISSERTATION & RES
Past Courses
MATH 111: CALCULUS I
MATH 211: CALCULUS III A
MATH 211: CALCULUS IIIA
MATH 213: CALCULUS IIIB
MATH 222: DIFFERENTIAL EQUATIONS
MATH 227: MATHEMATICAL MODELING
MATH 331: INTRO PARTIAL DIFF EQ
MATH 332: INTRO COMPLEX VARIABLES
MATH 335: VECTOR ANALYSIS
MATH 337: LINEAR ALGEBRA
MATH 337: LINEAR ALGEBRA-HONORS
MATH 340: APPLIED NUMERICAL METHODS
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 440: ADVANCED APPLIED NUMERICAL METHODS
MATH 480: INTRO MATH ANALYSIS
MATH 481: ADVANCED CALCULUS
MATH 545: INTRO MATH ANALYSIS
MATH 546: ADVANCED CALCULUS II
MATH 611: NUMER METH FOR COMPUTATN
MATH 614: NUMERICAL METHODS I
MATH 645: ANALYSIS
MATH 707: ST: BOUNDARY INTEGRAL EQUATIONS
MATH 745: MATHMATICAL ANALYSIS II
MATH 211: CALCULUS III A
MATH 211: CALCULUS IIIA
MATH 213: CALCULUS IIIB
MATH 222: DIFFERENTIAL EQUATIONS
MATH 227: MATHEMATICAL MODELING
MATH 331: INTRO PARTIAL DIFF EQ
MATH 332: INTRO COMPLEX VARIABLES
MATH 335: VECTOR ANALYSIS
MATH 337: LINEAR ALGEBRA
MATH 337: LINEAR ALGEBRA-HONORS
MATH 340: APPLIED NUMERICAL METHODS
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 440: ADVANCED APPLIED NUMERICAL METHODS
MATH 480: INTRO MATH ANALYSIS
MATH 481: ADVANCED CALCULUS
MATH 545: INTRO MATH ANALYSIS
MATH 546: ADVANCED CALCULUS II
MATH 611: NUMER METH FOR COMPUTATN
MATH 614: NUMERICAL METHODS I
MATH 645: ANALYSIS
MATH 707: ST: BOUNDARY INTEGRAL EQUATIONS
MATH 745: MATHMATICAL ANALYSIS II
Conference Paper
“Non-Overlapping Domain Decomposition Methods with Cross-Points and Padé Approximants for the Helmholtz Equation”
Domain Decomposition Methods in Science and Engineering XXVI Springer , March 2023.
Domain Decomposition Methods in Science and Engineering XXVI Springer , March 2023.
Journal Article
Yassine Boubendir, Yingzhi LI, Xiaoming He. 2022. “New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System.” SIAM Journal on Scientific Computing, vol. 44, no. 4, pp. 27.
Yassine Boubendir, Fatih Ecevit , Akash Anand , Souaad Lazergui . 2022. “Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems.” Numerische Mathematik , vol. 150 , no. 3, pp. 45.
Yassine Boubendir, Dawid Midura, . 2018. “Non-overlapping domain decomposition algorithm based on modified transmission conditions for the Helmholtz equation .” Computers and Mathematics with Applications, vol. 75, no. 6, pp. 1900-1911.
Yassine Boubendir, Souaad Lazergui, . 2017. “Asymptotic expansions of the Helmholtz equation solutions using approximations of the Dirichlet to Neumann operator .” Journal of Mathematical Analysis and Applications, vol. 456, no. 2, pp. 767-786.
Yassine Boubendir, Fatih Ecevit, Fernando Reitich. 2017. “Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects .” SIAM Journal on Scientific Computing, vol. 39, no. 6, pp. 1130-1155.
Yassine Boubendir, Fatih Ecevit , Akash Anand , Souaad Lazergui . 2022. “Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems.” Numerische Mathematik , vol. 150 , no. 3, pp. 45.
Yassine Boubendir, Dawid Midura, . 2018. “Non-overlapping domain decomposition algorithm based on modified transmission conditions for the Helmholtz equation .” Computers and Mathematics with Applications, vol. 75, no. 6, pp. 1900-1911.
Yassine Boubendir, Souaad Lazergui, . 2017. “Asymptotic expansions of the Helmholtz equation solutions using approximations of the Dirichlet to Neumann operator .” Journal of Mathematical Analysis and Applications, vol. 456, no. 2, pp. 767-786.
Yassine Boubendir, Fatih Ecevit, Fernando Reitich. 2017. “Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects .” SIAM Journal on Scientific Computing, vol. 39, no. 6, pp. 1130-1155.
SHOW MORE
Yassine Boubendir, Catalin Turc, Mohamed Riahi . 2017. “Well-conditioned boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz problems with impedance boundary conditions in two-dimensional Lipschitz domains.” Journal of Integral Equations and Applications , vol. 29, no. 3, pp. 441-472..
Yassine Boubendir, Catalin Turc, Michael Pedneault . 2017. “Schur complement domain decomposition methods for the solution of multiple scattering problems.” IMA Journal of Applied Mathematics, vol. 82, no. 5, pp. 1104–1134.
Yassine Boubendir, A. Bendali, N. Zerbib, . 2016. “Coupling finite and boundary element methods using a localized adaptive radiation condition for the Helmholtz’s equation.” Lecture Notes in Computational Science and Engineering, Springer, vol. 104.
Catalin C. Turc, Yassine Boubendir, V. Dominguez, . 2016. “High-order Nyström discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.” IMA J. Numer. Anal., vol. 36, no. 1.
Catalin C. Turc, Yassine Boubendir, O. Bruno, D. Levadoux, . 2015. “ Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems.” Appl. Numer. Math. , vol. 95.
Catalin C. Turc, Yassine Boubendir, V. Dominguez, D. Levadoux. 2015. “Regularized combined field integral equations for acoustic transmission problems.” SIAM J. Appl. Math, vol. 75, no. 3 .
Catalin C. Turc, Yassine Boubendir, Victor Dominguez. “High-order Nystr\"om discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.” IMA Journal Numerical Analysis, pp. 28.
Catalin C. Turc, Yassine Boubendir, Oscar Bruno Caltech , David Levadoux Onera France. “Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional penetrable scattering problems.” Applied Numerical Analysis, pp. 28.
Catalin C. Turc, Yassine Boubendir. 2014. “Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems.” Computers & Mathematics with Applications, vol. 67, no. 10, pp. 1772--1805.
Catalin C. Turc, Yassine Boubendir. 2014. “Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems.” Computers & Mathematics with Applications, vol. 67, no. 10, pp. 1772--1805.
Yassine Boubendir, Bendali Abderrahmane , Zerbib Nicolas . 2013. “Localized adaptive radiation condition for coupling boundary with finite element applied to radiation and scattering problems.” IMA numerical Analaysis, pp. 26.
Yassine Boubendir, Bendali Abderrahmane , Zerbib Nicolas . 2013. “Localized adaptive radiation condition for coupling boundary with finite element applied to radiation and scattering problems.” IMA numerical Analaysis, vol. 34, no. 3, pp. 26.
Yassine Boubendir, Catalin C. Turc. 2013. “Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions.” IMA Journal Numerical Analysis, vol. 33, pp. 1176–1225 .
Catalin C. Turc, Yassine Boubendir. 2013. “Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions.” IMA Journal Numerical Analysis, vol. 33, pp. 1176–1225 .
Yassine Boubendir, Svetlana Tlupova . 2013. “Domain decomposition methods for solving Stokes-Darcy problems with boundary integrals.” SIAM Journal on Scientific Computing, vol. 35, no. 1, pp. 26.
Yassine Boubendir, Xavier Antoine , Christophe Geuzaine . 2012. “A Quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation.” Journal of Computational Physics, vol. 231, no. 2, pp. 262-280.
Yassine Boubendir, Horacio Rotstein, vicenc Mendez. “Dynamics of one- and two-dimensional fronts in a bistable equation with time-delayed global feedback: Propagation failure and control mechanisms .” Physical Review E, vol. 82, pp. 1-20.
Yassine Boubendir, Fatih Ecevit, Fernando Reitich, Ackash Anand. 2010. “Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional case.” Numerische Mathematik, vol. 114, no. 3, pp. 373-427.
Yassine Boubendir, Svetlana Tlupova. 2009. “Stokes-Darcy boundary integral solutions using preconditioners.” Journal of Computational Physics, vol. 228, no. 23, pp. 8627-8641.
Yassine Boubendir, Catalin Turc, Michael Pedneault . 2017. “Schur complement domain decomposition methods for the solution of multiple scattering problems.” IMA Journal of Applied Mathematics, vol. 82, no. 5, pp. 1104–1134.
Yassine Boubendir, A. Bendali, N. Zerbib, . 2016. “Coupling finite and boundary element methods using a localized adaptive radiation condition for the Helmholtz’s equation.” Lecture Notes in Computational Science and Engineering, Springer, vol. 104.
Catalin C. Turc, Yassine Boubendir, V. Dominguez, . 2016. “High-order Nyström discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.” IMA J. Numer. Anal., vol. 36, no. 1.
Catalin C. Turc, Yassine Boubendir, O. Bruno, D. Levadoux, . 2015. “ Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems.” Appl. Numer. Math. , vol. 95.
Catalin C. Turc, Yassine Boubendir, V. Dominguez, D. Levadoux. 2015. “Regularized combined field integral equations for acoustic transmission problems.” SIAM J. Appl. Math, vol. 75, no. 3 .
Catalin C. Turc, Yassine Boubendir, Victor Dominguez. “High-order Nystr\"om discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems.” IMA Journal Numerical Analysis, pp. 28.
Catalin C. Turc, Yassine Boubendir, Oscar Bruno Caltech , David Levadoux Onera France. “Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional penetrable scattering problems.” Applied Numerical Analysis, pp. 28.
Catalin C. Turc, Yassine Boubendir. 2014. “Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems.” Computers & Mathematics with Applications, vol. 67, no. 10, pp. 1772--1805.
Catalin C. Turc, Yassine Boubendir. 2014. “Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems.” Computers & Mathematics with Applications, vol. 67, no. 10, pp. 1772--1805.
Yassine Boubendir, Bendali Abderrahmane , Zerbib Nicolas . 2013. “Localized adaptive radiation condition for coupling boundary with finite element applied to radiation and scattering problems.” IMA numerical Analaysis, pp. 26.
Yassine Boubendir, Bendali Abderrahmane , Zerbib Nicolas . 2013. “Localized adaptive radiation condition for coupling boundary with finite element applied to radiation and scattering problems.” IMA numerical Analaysis, vol. 34, no. 3, pp. 26.
Yassine Boubendir, Catalin C. Turc. 2013. “Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions.” IMA Journal Numerical Analysis, vol. 33, pp. 1176–1225 .
Catalin C. Turc, Yassine Boubendir. 2013. “Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions.” IMA Journal Numerical Analysis, vol. 33, pp. 1176–1225 .
Yassine Boubendir, Svetlana Tlupova . 2013. “Domain decomposition methods for solving Stokes-Darcy problems with boundary integrals.” SIAM Journal on Scientific Computing, vol. 35, no. 1, pp. 26.
Yassine Boubendir, Xavier Antoine , Christophe Geuzaine . 2012. “A Quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation.” Journal of Computational Physics, vol. 231, no. 2, pp. 262-280.
Yassine Boubendir, Horacio Rotstein, vicenc Mendez. “Dynamics of one- and two-dimensional fronts in a bistable equation with time-delayed global feedback: Propagation failure and control mechanisms .” Physical Review E, vol. 82, pp. 1-20.
Yassine Boubendir, Fatih Ecevit, Fernando Reitich, Ackash Anand. 2010. “Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional case.” Numerische Mathematik, vol. 114, no. 3, pp. 373-427.
Yassine Boubendir, Svetlana Tlupova. 2009. “Stokes-Darcy boundary integral solutions using preconditioners.” Journal of Computational Physics, vol. 228, no. 23, pp. 8627-8641.
COLLAPSE
Conference Proceeding
“A New non-overlapping quasi-optimal optimized Schwarz domain decomposition algorithm for the Helmholtz equation”
Springer, September 2013.
“High-frequency scattering problems: An appropriate preconditioner for a Krylov subspace algorithm”
June 2009.
Springer, September 2013.
“High-frequency scattering problems: An appropriate preconditioner for a Krylov subspace algorithm”
June 2009.