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
2024 Fall Courses
MATH 792B - PRE DOCTORAL RESEARCH
MATH 790A - DOCT DISSERTATION & RES
MATH 211 - CALCULUS III A
MATH 790A - DOCT DISSERTATION & RES
MATH 211 - CALCULUS III A
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
Boubendir, Yassine, & LI, Yingzhi , & He, Xiaoming (2022). New Optimized Robin--Robin Domain Decomposition Methods using Krylov Solvers for the Stokes--Darcy System. SIAM Journal on Scientific Computing, 44(4), 27.
Boubendir, Yassine, & Ecevit , Fatih , & Anand , Akash , & Lazergui , Souaad (2022). Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems. Numerische Mathematik , 150 (3), 45.
Boubendir, Yassine , & Midura, Dawid (2018). Non-overlapping domain decomposition algorithm based on modified transmission conditions for the Helmholtz equation . Computers and Mathematics with Applications, 75(6), 1900-1911.
Boubendir, Yassine, & Lazergui, Souaad (2017). Asymptotic expansions of the Helmholtz equation solutions using approximations of the Dirichlet to Neumann operator . Journal of Mathematical Analysis and Applications, 456(2), 767-786.
Boubendir, Yassine, & Ecevit, Fatih, & Reitich, Fernando (2017). Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects . SIAM Journal on Scientific Computing, 39(6), 1130-1155.
Boubendir, Yassine, & Ecevit , Fatih , & Anand , Akash , & Lazergui , Souaad (2022). Spectral Galerkin boundary element methods for high-frequency sound-hard scattering problems. Numerische Mathematik , 150 (3), 45.
Boubendir, Yassine , & Midura, Dawid (2018). Non-overlapping domain decomposition algorithm based on modified transmission conditions for the Helmholtz equation . Computers and Mathematics with Applications, 75(6), 1900-1911.
Boubendir, Yassine, & Lazergui, Souaad (2017). Asymptotic expansions of the Helmholtz equation solutions using approximations of the Dirichlet to Neumann operator . Journal of Mathematical Analysis and Applications, 456(2), 767-786.
Boubendir, Yassine, & Ecevit, Fatih, & Reitich, Fernando (2017). Acceleration of an iterative method for the evaluation of high-frequency multiple scattering effects . SIAM Journal on Scientific Computing, 39(6), 1130-1155.
SHOW MORE
Boubendir, Yassine, & Turc, Catalin , & Riahi , Mohamed (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 , 29(3), 441-472..
Boubendir, Yassine, & Turc, Catalin , & Pedneault , Michael (2017). Schur complement domain decomposition methods for the solution of multiple scattering problems. IMA Journal of Applied Mathematics, 82(5), 1104–1134.
Boubendir, Yassine, & Bendali, A. , & Zerbib, N. (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, 104,
Turc, Catalin C., & Boubendir, Yassine, & Dominguez, V. (2016). High-order Nyström discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems. IMA J. Numer. Anal., 36(1),
Turc, Catalin C., & Boubendir, Yassine, & Bruno, O., & Levadoux, D. (2015). Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems. Appl. Numer. Math. , 95,
Turc, Catalin C., & Boubendir, Yassine, & Dominguez, V. , & Levadoux, D. (2015). Regularized combined field integral equations for acoustic transmission problems. SIAM J. Appl. Math, 75(3 ),
Turc, Catalin C., & Boubendir, Yassine, & Dominguez, Victor High-order Nystr\"om discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems. IMA Journal Numerical Analysis, 28.
Turc, Catalin C., & Boubendir, Yassine, & France, David Levadoux Onera Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional penetrable scattering problems. Applied Numerical Analysis, 28.
Turc, Catalin C., & Boubendir, Yassine (2014). Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems. Computers & Mathematics with Applications, 67(10), 1772--1805.
Turc, Catalin C., & Boubendir, Yassine (2014). Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems. Computers & Mathematics with Applications, 67(10), 1772--1805.
Boubendir, Yassine (2013). Localized adaptive radiation condition for coupling boundary with finite element applied to radiation and scattering problems. IMA numerical Analaysis, 26.
Boubendir, Yassine (2013). Localized adaptive radiation condition for coupling boundary with finite element applied to radiation and scattering problems. IMA numerical Analaysis, 34(3), 26.
Boubendir, Yassine, & Turc, Catalin C. (2013). Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions. IMA Journal Numerical Analysis, 33, 1176–1225 .
Turc, Catalin C., & Boubendir, Yassine (2013). Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions. IMA Journal Numerical Analysis, 33, 1176–1225 .
Boubendir, Yassine (2013). Domain decomposition methods for solving Stokes-Darcy problems with boundary integrals. SIAM Journal on Scientific Computing, 35(1), 26.
Boubendir, Yassine (2012). A Quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Journal of Computational Physics, 231(2), 262-280.
Boubendir, Yassine, & Rotstein, Horacio, & Mendez, vicenc Dynamics of one- and two-dimensional fronts in a bistable equation with time-delayed global feedback: Propagation failure and control mechanisms . Physical Review E, 82, 1-20.
Boubendir, Yassine, & Ecevit, Fatih, & Reitich, Fernando, & Anand, Ackash (2010). Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional case. Numerische Mathematik, 114(3), 373-427.
Boubendir, Yassine, & Tlupova, Svetlana (2009). Stokes-Darcy boundary integral solutions using preconditioners. Journal of Computational Physics, 228(23), 8627-8641.
Boubendir, Yassine, & Turc, Catalin , & Pedneault , Michael (2017). Schur complement domain decomposition methods for the solution of multiple scattering problems. IMA Journal of Applied Mathematics, 82(5), 1104–1134.
Boubendir, Yassine, & Bendali, A. , & Zerbib, N. (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, 104,
Turc, Catalin C., & Boubendir, Yassine, & Dominguez, V. (2016). High-order Nyström discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems. IMA J. Numer. Anal., 36(1),
Turc, Catalin C., & Boubendir, Yassine, & Bruno, O., & Levadoux, D. (2015). Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional smooth penetrable scattering problems. Appl. Numer. Math. , 95,
Turc, Catalin C., & Boubendir, Yassine, & Dominguez, V. , & Levadoux, D. (2015). Regularized combined field integral equations for acoustic transmission problems. SIAM J. Appl. Math, 75(3 ),
Turc, Catalin C., & Boubendir, Yassine, & Dominguez, Victor High-order Nystr\"om discretizations for the solution of integral equation formulations of two-dimensional Helmholtz transmission problems. IMA Journal Numerical Analysis, 28.
Turc, Catalin C., & Boubendir, Yassine, & France, David Levadoux Onera Integral equations requiring small numbers of Krylov-subspace iterations for two-dimensional penetrable scattering problems. Applied Numerical Analysis, 28.
Turc, Catalin C., & Boubendir, Yassine (2014). Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems. Computers & Mathematics with Applications, 67(10), 1772--1805.
Turc, Catalin C., & Boubendir, Yassine (2014). Well-conditioned boundary integral equation formulations for the solution of high-frequency electromagnetic scattering problems. Computers & Mathematics with Applications, 67(10), 1772--1805.
Boubendir, Yassine (2013). Localized adaptive radiation condition for coupling boundary with finite element applied to radiation and scattering problems. IMA numerical Analaysis, 26.
Boubendir, Yassine (2013). Localized adaptive radiation condition for coupling boundary with finite element applied to radiation and scattering problems. IMA numerical Analaysis, 34(3), 26.
Boubendir, Yassine, & Turc, Catalin C. (2013). Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions. IMA Journal Numerical Analysis, 33, 1176–1225 .
Turc, Catalin C., & Boubendir, Yassine (2013). Wavenumber estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions. IMA Journal Numerical Analysis, 33, 1176–1225 .
Boubendir, Yassine (2013). Domain decomposition methods for solving Stokes-Darcy problems with boundary integrals. SIAM Journal on Scientific Computing, 35(1), 26.
Boubendir, Yassine (2012). A Quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Journal of Computational Physics, 231(2), 262-280.
Boubendir, Yassine, & Rotstein, Horacio, & Mendez, vicenc Dynamics of one- and two-dimensional fronts in a bistable equation with time-delayed global feedback: Propagation failure and control mechanisms . Physical Review E, 82, 1-20.
Boubendir, Yassine, & Ecevit, Fatih, & Reitich, Fernando, & Anand, Ackash (2010). Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional case. Numerische Mathematik, 114(3), 373-427.
Boubendir, Yassine, & Tlupova, Svetlana (2009). Stokes-Darcy boundary integral solutions using preconditioners. Journal of Computational Physics, 228(23), 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