Search Results - "Collino, Francis"
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1
Nonlocal optimized schwarz methods for time-harmonic electromagnetics
Published in Advances in computational mathematics (01-12-2022)“…We introduce a new domain decomposition strategy for time harmonic Maxwell’s equations that is valid in the case of automatically generated subdomain…”
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2
Monotone and consistent discretization of the Monge-Ampère operator
Published in Mathematics of computation (01-11-2016)“…We introduce a novel discretization of the Monge-Ampère operator, simultaneously consistent and degenerate elliptic, hence accurate and robust in applications…”
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3
A wideband Fast Multipole Method for the Helmholtz kernel: Theoretical developments
Published in Computers & mathematics with applications (1987) (01-08-2015)“…This work presents a new Fast Multipole Method (FMM) based on plane wave expansions (PWFMM), combining the advantages of the low and high frequency…”
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4
A new accurate residual-based a posteriori error indicator for the BEM in 2D-acoustics
Published in Computers & mathematics with applications (1987) (15-06-2017)“…In this work we construct a new reliable, efficient and local a posteriori error estimate for the single layer and hyper-singular boundary integral equations…”
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5
Monotone and consistent discretization of the Monge-Amp\`ere operator
Published in Mathematics of computation (01-11-2016)“…We introduce a novel discretization of the Monge-Ampère operator, simultaneously consistent and degenerate elliptic, hence accurate and robust in applications…”
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6
Extension to Nonconforming Meshes of the Combined Current and Charge Integral Equation
Published in IEEE transactions on antennas and propagation (01-10-2012)“…We bring out some mathematical properties of the current and charge boundary integral equation when it is posed on a surface without geometrical singularities…”
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7
Source point discovery through high frequency asymptotic time reversal
Published in Journal of computational physics (20-05-2012)“…Given local frequency domain wave data, the Numerical Micro-Local Analysis (NMLA) method (Benamou et al., 2004) [5] and its recent improved version (Benamou et…”
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8
Extension to non-conforming meshes of the current and charge combined integral equation
Published in IEEE transactions on antennas and propagation (2012)Get full text
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9
Characteristic current decomposition and radar cross-section analysis for perfectly electrically conducting bodies
Published in IMA journal of numerical analysis (01-01-2015)Get full text
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10
Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations
Published in Journal of computational physics (2006)“…A new variational space-time mesh refinement method is proposed for the FDTD solution of Maxwell’s equations. The main advantage of this method is to guarantee…”
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11
Computing singular and near-singular integrals over curved boundary elements: The strongly singular case
Published 29-09-2023“…We present algorithms for computing strongly singular and near-singular surface integrals over curved triangular patches, based on singularity subtraction, the…”
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12
Domain decomposition method for harmonic wave propagation: a general presentation
Published in Computer methods in applied mechanics and engineering (01-01-2000)“…In this paper we give a general presentation of non overlapping domain decomposition methods for harmonic wave propagation models. Our abstract framework leads…”
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13
Perfectly Matched Absorbing Layers for the Paraxial Equations
Published in Journal of computational physics (01-02-1997)“…A new absorbing boundary technique for the paraxial wave equations is proposed and analyzed. Numerical results show the efficiency of the method…”
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14
Accurate Computation of the Radar Cross Section by Increasing the Geometric Approximation Order in Boundary Integral Equations
Published in 2024 IEEE International Symposium on Antennas and Propagation and INC/USNC‐URSI Radio Science Meeting (AP-S/INC-USNC-URSI) (14-07-2024)“…It is well-known that high-order finite element methods offer significant gains in terms of accuracy and computation time. However, due to some difficulties…”
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Conference Proceeding -
15
Nonlocal Optimized Schwarz Methods for time-harmonic electromagnetics
Published 25-08-2021“…We introduce a new domain decomposition strategy for time harmonic Maxwell's equations that is valid in the case of automatically generated subdomain…”
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16
Augmented Galerkin schemes for the numerical solution of scattering by small obstacles
Published in Numerische Mathematik (01-08-2010)“…We are interested in the problem of a bidimensional acoustic wave propagation in a medium including a small obstacle with homogeneous Dirichlet boundary…”
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17
Numerical microlocal analysis of harmonic wavefields
Published in Journal of computational physics (20-09-2004)“…We present and test a numerical method which, given an analytical or numerical solution of the Helmholtz equation in a neighborhood of a fixed observation…”
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18
A conservative space-time mesh refinement method for the 1-D wave equation. Part II: Analysis
Published in Numerische Mathematik (01-08-2003)“…We introduced in [2] a new method for space-time refinement for the 1-D wave equation. This method is based on the conservation of a discrete energy through…”
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19
Integral equations via saddle point problems for time-harmonic Maxwell's equations
Published in Journal of computational and applied mathematics (2003)“…We propose a new system of integral equations for the exterior time harmonic Maxwell's equation. This system is derived first from elementary manipulations of…”
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20
A conservative space-time mesh refinement method for the 1-D wave equation. I. Construction
Published in Numerische Mathematik (01-08-2003)“…We propose a new method for space-time refinement for the 1-D wave equation. This method is based on the conservation of a discrete energy through two…”
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