Feng, Qiwei; Han, Bin; Minev, Peter Sixth-order hybrid finite difference methods for elliptic interface problems with mixed boundary conditions. (English) Zbl 07811322 J. Comput. Phys. 497, Article ID 112635, 32 p. (2024). MSC: 65Nxx 35Jxx 76Mxx PDFBibTeX XMLCite \textit{Q. Feng} et al., J. Comput. Phys. 497, Article ID 112635, 32 p. (2024; Zbl 07811322) Full Text: DOI arXiv
Zhou, Han; Ying, Wenjun A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces. (English) Zbl 07807974 J. Comput. Phys. 496, Article ID 112545, 18 p. (2024). MSC: 65Nxx 35Jxx 76Mxx PDFBibTeX XMLCite \textit{H. Zhou} and \textit{W. Ying}, J. Comput. Phys. 496, Article ID 112545, 18 p. (2024; Zbl 07807974) Full Text: DOI arXiv
Jin, Shi; Li, Xiantao; Liu, Nana; Yu, Yue Quantum simulation for partial differential equations with physical boundary or interface conditions. (English) Zbl 07797674 J. Comput. Phys. 498, Article ID 112707, 18 p. (2024). MSC: 65Mxx 35Lxx 78Axx PDFBibTeX XMLCite \textit{S. Jin} et al., J. Comput. Phys. 498, Article ID 112707, 18 p. (2024; Zbl 07797674) Full Text: DOI arXiv
Bucelli, Michele; Gabriel, Martin Geraint; Quarteroni, Alfio; Gigante, Giacomo; Vergara, Christian A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction. (English) Zbl 07715255 J. Comput. Phys. 490, Article ID 112326, 24 p. (2023). MSC: 92Cxx 74Fxx 65Mxx PDFBibTeX XMLCite \textit{M. Bucelli} et al., J. Comput. Phys. 490, Article ID 112326, 24 p. (2023; Zbl 07715255) Full Text: DOI arXiv
Ren, Yiming; Zhao, Shan A FFT accelerated fourth order finite difference method for solving three-dimensional elliptic interface problems. (English) Zbl 07652816 J. Comput. Phys. 477, Article ID 111924, 28 p. (2023). MSC: 65Nxx 35Jxx 35Rxx PDFBibTeX XMLCite \textit{Y. Ren} and \textit{S. Zhao}, J. Comput. Phys. 477, Article ID 111924, 28 p. (2023; Zbl 07652816) Full Text: DOI
Ren, Yiming; Feng, Hongsong; Zhao, Shan A FFT accelerated high order finite difference method for elliptic boundary value problems over irregular domains. (English) Zbl 07516834 J. Comput. Phys. 448, Article ID 110762, 24 p. (2022). MSC: 65Nxx 35Jxx 65Mxx PDFBibTeX XMLCite \textit{Y. Ren} et al., J. Comput. Phys. 448, Article ID 110762, 24 p. (2022; Zbl 07516834) Full Text: DOI
Qin, Jianhua; Kolahdouz, Ebrahim M.; Griffith, Boyce E. An immersed interface-lattice Boltzmann method for fluid-structure interaction. (English) Zbl 07511406 J. Comput. Phys. 428, Article ID 109807, 20 p. (2021). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{J. Qin} et al., J. Comput. Phys. 428, Article ID 109807, 20 p. (2021; Zbl 07511406) Full Text: DOI arXiv
Wang, Quanxiang; Zhang, Zhiyue; Wang, Liqun New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions. (English) Zbl 07510256 J. Comput. Phys. 427, Article ID 110075, 21 p. (2021). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{Q. Wang} et al., J. Comput. Phys. 427, Article ID 110075, 21 p. (2021; Zbl 07510256) Full Text: DOI
Farago, Oded Algorithms for Brownian dynamics across discontinuities. (English) Zbl 07508417 J. Comput. Phys. 423, Article ID 109802, 13 p. (2020). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{O. Farago}, J. Comput. Phys. 423, Article ID 109802, 13 p. (2020; Zbl 07508417) Full Text: DOI arXiv
Feng, Hongsong; Zhao, Shan A fourth order finite difference method for solving elliptic interface problems with the FFT acceleration. (English) Zbl 07507238 J. Comput. Phys. 419, Article ID 109677, 25 p. (2020). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{H. Feng} and \textit{S. Zhao}, J. Comput. Phys. 419, Article ID 109677, 25 p. (2020; Zbl 07507238) Full Text: DOI
Kolahdouz, Ebrahim M.; Bhalla, Amneet Pal Singh; Craven, Brent A.; Griffith, Boyce E. An immersed interface method for discrete surfaces. (English) Zbl 1453.76075 J. Comput. Phys. 400, Article ID 108854, 37 p. (2020). MSC: 76M10 76D05 76Z05 76M20 PDFBibTeX XMLCite \textit{E. M. Kolahdouz} et al., J. Comput. Phys. 400, Article ID 108854, 37 p. (2020; Zbl 1453.76075) Full Text: DOI arXiv Link
Touboul, Marie; Lombard, Bruno; Bellis, Cédric Time-domain simulation of wave propagation across resonant meta-interfaces. (English) Zbl 1440.65102 J. Comput. Phys. 414, Article ID 109474, 27 p. (2020). MSC: 65M06 76Q05 35B34 PDFBibTeX XMLCite \textit{M. Touboul} et al., J. Comput. Phys. 414, Article ID 109474, 27 p. (2020; Zbl 1440.65102) Full Text: DOI HAL
Feng, Hongsong; Zhao, Shan FFT-based high order central difference schemes for three-dimensional Poisson’s equation with various types of boundary conditions. (English) Zbl 1436.65159 J. Comput. Phys. 410, Article ID 109391, 23 p. (2020). MSC: 65N06 65T50 35J05 PDFBibTeX XMLCite \textit{H. Feng} and \textit{S. Zhao}, J. Comput. Phys. 410, Article ID 109391, 23 p. (2020; Zbl 1436.65159) Full Text: DOI
Ghasemi, Fatemeh; Nordström, Jan On conservation and dual consistency for summation-by-parts based approximations of parabolic problems. (English) Zbl 1436.65131 J. Comput. Phys. 410, Article ID 109282, 5 p. (2020). MSC: 65M22 35K05 35B06 PDFBibTeX XMLCite \textit{F. Ghasemi} and \textit{J. Nordström}, J. Comput. Phys. 410, Article ID 109282, 5 p. (2020; Zbl 1436.65131) Full Text: DOI Link
Puelz, Charles; Griffith, Boyce E. A sharp interface method for an immersed viscoelastic solid. (English) Zbl 1435.76040 J. Comput. Phys. 409, Article ID 109217, 25 p. (2020). MSC: 76M10 65M60 74F10 PDFBibTeX XMLCite \textit{C. Puelz} and \textit{B. E. Griffith}, J. Comput. Phys. 409, Article ID 109217, 25 p. (2020; Zbl 1435.76040) Full Text: DOI arXiv
Ghasemi, Fatemeh; Nordström, Jan An energy stable coupling procedure for the compressible and incompressible Navier-Stokes equations. (English) Zbl 1452.76153 J. Comput. Phys. 396, 280-302 (2019). MSC: 76M20 76T10 76D05 76N06 65M06 65M12 PDFBibTeX XMLCite \textit{F. Ghasemi} and \textit{J. Nordström}, J. Comput. Phys. 396, 280--302 (2019; Zbl 1452.76153) Full Text: DOI Link
Nguyen, Van-Dang; Jansson, Johan; Hoffman, Johan; Li, Jing-Rebecca A partition of unity finite element method for computational diffusion MRI. (English) Zbl 1416.65356 J. Comput. Phys. 375, 271-290 (2018). MSC: 65M60 92C55 65-04 PDFBibTeX XMLCite \textit{V.-D. Nguyen} et al., J. Comput. Phys. 375, 271--290 (2018; Zbl 1416.65356) Full Text: DOI Link
Luo, P.; Rodrigo, C.; Gaspar, F. J.; Oosterlee, C. W. Monolithic multigrid method for the coupled Stokes flow and deformable porous medium system. (English) Zbl 1380.76142 J. Comput. Phys. 353, 148-168 (2018). MSC: 76S05 76M12 74F10 PDFBibTeX XMLCite \textit{P. Luo} et al., J. Comput. Phys. 353, 148--168 (2018; Zbl 1380.76142) Full Text: DOI Link
Nordström, Jan; Ruggiu, Andrea A. On conservation and stability properties for summation-by-parts schemes. (English) Zbl 1380.65172 J. Comput. Phys. 344, 451-464 (2017). MSC: 65M06 65M12 35L04 PDFBibTeX XMLCite \textit{J. Nordström} and \textit{A. A. Ruggiu}, J. Comput. Phys. 344, 451--464 (2017; Zbl 1380.65172) Full Text: DOI Link
Gallinato, Olivier; Poignard, Clair Superconvergent second-order Cartesian method for solving free boundary problem for invadopodia formation. (English) Zbl 1375.92019 J. Comput. Phys. 339, 412-431 (2017). MSC: 92C37 65M06 35Q92 35R37 PDFBibTeX XMLCite \textit{O. Gallinato} and \textit{C. Poignard}, J. Comput. Phys. 339, 412--431 (2017; Zbl 1375.92019) Full Text: DOI HAL
Lombard, Bruno; Maurel, Agnès; Marigo, Jean-Jacques Numerical modeling of the acoustic wave propagation across a homogenized rigid microstructure in the time domain. (English) Zbl 1375.76169 J. Comput. Phys. 335, 558-577 (2017). MSC: 76Q05 76B15 PDFBibTeX XMLCite \textit{B. Lombard} et al., J. Comput. Phys. 335, 558--577 (2017; Zbl 1375.76169) Full Text: DOI arXiv
Zhang, Chun-Yu; Ding, Hang; Gao, Peng; Wu, Yan-Ling Diffuse interface simulation of ternary fluids in contact with solid. (English) Zbl 1351.76005 J. Comput. Phys. 309, 37-51 (2016). MSC: 76A20 PDFBibTeX XMLCite \textit{C.-Y. Zhang} et al., J. Comput. Phys. 309, 37--51 (2016; Zbl 1351.76005) Full Text: DOI
Han, Daoru; Wang, Pu; He, Xiaoming; Lin, Tao; Wang, Joseph A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma-lunar surface interactions. (English) Zbl 1349.76212 J. Comput. Phys. 321, 965-980 (2016). MSC: 76M10 65N75 76P05 76X05 PDFBibTeX XMLCite \textit{D. Han} et al., J. Comput. Phys. 321, 965--980 (2016; Zbl 1349.76212) Full Text: DOI
Duru, Kenneth; Dunham, Eric M. Dynamic earthquake rupture simulations on nonplanar faults embedded in 3D geometrically complex, heterogeneous elastic solids. (English) Zbl 1349.86049 J. Comput. Phys. 305, 185-207 (2016). MSC: 86A17 86-08 86A15 35Q74 35Q86 74L05 PDFBibTeX XMLCite \textit{K. Duru} and \textit{E. M. Dunham}, J. Comput. Phys. 305, 185--207 (2016; Zbl 1349.86049) Full Text: DOI
Xu, Sheng; Pearson, Glen D. Computing jump conditions for the immersed interface method using triangular meshes. (English) Zbl 1349.76656 J. Comput. Phys. 302, 59-67 (2015). MSC: 76M25 76M20 76D05 PDFBibTeX XMLCite \textit{S. Xu} and \textit{G. D. Pearson}, J. Comput. Phys. 302, 59--67 (2015; Zbl 1349.76656) Full Text: DOI
Zhang, Qian; Ito, Kazufumi; Li, Zhilin; Zhang, Zhiyue Immersed finite elements for optimal control problems of elliptic PDEs with interfaces. (English) Zbl 1349.65638 J. Comput. Phys. 298, 305-319 (2015). MSC: 65N30 65N15 49K20 49M05 PDFBibTeX XMLCite \textit{Q. Zhang} et al., J. Comput. Phys. 298, 305--319 (2015; Zbl 1349.65638) Full Text: DOI
Li, Zhilin; Xiao, Li; Cai, Qin; Zhao, Hongkai; Luo, Ray A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions. (English) Zbl 1349.76498 J. Comput. Phys. 297, 182-193 (2015). MSC: 76M20 65M06 76D05 76Z05 92C35 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Comput. Phys. 297, 182--193 (2015; Zbl 1349.76498) Full Text: DOI
Leguèbe, M.; Poignard, C.; Weynans, L. A second-order Cartesian method for the simulation of electropermeabilization cell models. (English) Zbl 1349.78093 J. Comput. Phys. 292, 114-140 (2015). MSC: 78M20 65M06 65M12 PDFBibTeX XMLCite \textit{M. Leguèbe} et al., J. Comput. Phys. 292, 114--140 (2015; Zbl 1349.78093) Full Text: DOI HAL
Abdelrahman, Mahmoud A. E.; Kunik, Matthias A new front tracking scheme for the ultra-relativistic Euler equations. (English) Zbl 1349.76579 J. Comput. Phys. 275, 213-235 (2014). MSC: 76M25 76L05 65M25 76Y05 82B24 83C55 PDFBibTeX XMLCite \textit{M. A. E. Abdelrahman} and \textit{M. Kunik}, J. Comput. Phys. 275, 213--235 (2014; Zbl 1349.76579) Full Text: DOI
Rybak, Iryna; Magiera, Jim A multiple-time-step technique for coupled free flow and porous medium systems. (English) Zbl 1349.76827 J. Comput. Phys. 272, 327-342 (2014). MSC: 76S05 76M12 65M08 PDFBibTeX XMLCite \textit{I. Rybak} and \textit{J. Magiera}, J. Comput. Phys. 272, 327--342 (2014; Zbl 1349.76827) Full Text: DOI
Desmarais, J. L.; Kuerten, J. G. M. Open boundary conditions for the diffuse interface model in 1-D. (English) Zbl 1349.76451 J. Comput. Phys. 263, 393-418 (2014). MSC: 76M20 65M06 65M25 76Txx PDFBibTeX XMLCite \textit{J. L. Desmarais} and \textit{J. G. M. Kuerten}, J. Comput. Phys. 263, 393--418 (2014; Zbl 1349.76451) Full Text: DOI
Shestakov, Aleksei I. Multifrequency radiation diffusion equations for homogeneous, refractive, lossy media and their interface conditions. (English) Zbl 1349.78052 J. Comput. Phys. 243, 293-304 (2013). MSC: 78A48 PDFBibTeX XMLCite \textit{A. I. Shestakov}, J. Comput. Phys. 243, 293--304 (2013; Zbl 1349.78052) Full Text: DOI
Jamelot, Erell; Ciarlet, Patrick Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. (English) Zbl 1349.65428 J. Comput. Phys. 241, 445-463 (2013). MSC: 65M55 35K57 PDFBibTeX XMLCite \textit{E. Jamelot} and \textit{P. Ciarlet}, J. Comput. Phys. 241, 445--463 (2013; Zbl 1349.65428) Full Text: DOI
Zhou, Y. C.; Liu, Jiangguo; Harry, Dennis L. A matched interface and boundary method for solving multi-flow Navier-Stokes equations with applications to geodynamics. (English) Zbl 1426.76586 J. Comput. Phys. 231, No. 1, 223-242 (2012). MSC: 76M25 76T99 76D05 PDFBibTeX XMLCite \textit{Y. C. Zhou} et al., J. Comput. Phys. 231, No. 1, 223--242 (2012; Zbl 1426.76586) Full Text: DOI
Volkov, Oleg; Protas, Bartosz An inverse model for a free-boundary problem with a contact line: steady case. (English) Zbl 1166.76056 J. Comput. Phys. 228, No. 13, 4893-4910 (2009). MSC: 76T99 80A22 80A23 PDFBibTeX XMLCite \textit{O. Volkov} and \textit{B. Protas}, J. Comput. Phys. 228, No. 13, 4893--4910 (2009; Zbl 1166.76056) Full Text: DOI
Thömmes, G.; Becker, J.; Junk, M.; Vaikuntam, A. K.; Kehrwald, D.; Klar, A.; Steiner, K.; Wiegmann, A. A lattice Boltzmann method for immiscible multiphase flow simulations using the level set method. (English) Zbl 1169.76050 J. Comput. Phys. 228, No. 4, 1139-1156 (2009). MSC: 76M28 76M25 76T10 76D27 PDFBibTeX XMLCite \textit{G. Thömmes} et al., J. Comput. Phys. 228, No. 4, 1139--1156 (2009; Zbl 1169.76050) Full Text: DOI
Xu, Sheng The immersed interface method for simulating prescribed motion of rigid objects in an incompressible viscous flow. (English) Zbl 1388.76280 J. Comput. Phys. 227, No. 10, 5045-5071 (2008). MSC: 76M25 76D05 PDFBibTeX XMLCite \textit{S. Xu}, J. Comput. Phys. 227, No. 10, 5045--5071 (2008; Zbl 1388.76280) Full Text: DOI
Tanguy, Sébastien; Ménard, Thibaut; Berlemont, Alain A level set method for vaporizing two-phase flows. (English) Zbl 1216.76054 J. Comput. Phys. 221, No. 2, 837-853 (2007). MSC: 76M25 76T99 76V05 80A22 PDFBibTeX XMLCite \textit{S. Tanguy} et al., J. Comput. Phys. 221, No. 2, 837--853 (2007; Zbl 1216.76054) Full Text: DOI
Quan, Shaoping; Schmidt, David P. A moving mesh interface tracking method for 3D incompressible two-phase flows. (English) Zbl 1216.76050 J. Comput. Phys. 221, No. 2, 761-780 (2007). MSC: 76M25 76T99 PDFBibTeX XMLCite \textit{S. Quan} and \textit{D. P. Schmidt}, J. Comput. Phys. 221, No. 2, 761--780 (2007; Zbl 1216.76050) Full Text: DOI
Baro, M.; Ben Abdallah, N.; Degond, P.; El Ayyadi, A. A 1D coupled Schrödinger drift-diffusion model including collisions. (English) Zbl 1067.82060 J. Comput. Phys. 203, No. 1, 129-153 (2005). MSC: 82D37 78A35 PDFBibTeX XMLCite \textit{M. Baro} et al., J. Comput. Phys. 203, No. 1, 129--153 (2005; Zbl 1067.82060) Full Text: DOI
Lombard, Bruno; Piraux, Joël Numerical treatment of two-dimensional interfaces for acoustic and elastic waves. (English) Zbl 1087.76079 J. Comput. Phys. 195, No. 1, 90-116 (2004). MSC: 76M20 76Q05 74F10 74S20 PDFBibTeX XMLCite \textit{B. Lombard} and \textit{J. Piraux}, J. Comput. Phys. 195, No. 1, 90--116 (2004; Zbl 1087.76079) Full Text: DOI
Don, Wai-Sun; Gottlieb, David; Jung, Jae-Hun A multidomain spectral method for supersonic reactive flows. (English) Zbl 1047.76088 J. Comput. Phys. 192, No. 1, 325-354 (2003). MSC: 76M22 76V05 76J20 PDFBibTeX XMLCite \textit{W.-S. Don} et al., J. Comput. Phys. 192, No. 1, 325--354 (2003; Zbl 1047.76088) Full Text: DOI Link
Ginzburg, Irina; Steiner, Konrad Lattice Boltzmann model for free-surface flow and its application to filling process in casting. (English) Zbl 1062.76554 J. Comput. Phys. 185, No. 1, 61-99 (2003). MSC: 76M28 76D05 PDFBibTeX XMLCite \textit{I. Ginzburg} and \textit{K. Steiner}, J. Comput. Phys. 185, No. 1, 61--99 (2003; Zbl 1062.76554) Full Text: DOI
Tome, M. F.; Castelo, A.; Murakami, J.; Cuminato, J. A.; Minghim, R.; Oliveira, M. C. F.; Mangiavacchi, N.; McKee, S. Numerical simulation of axisymmetric free surface flows. (English) Zbl 0960.76061 J. Comput. Phys. 157, No. 2, 441-472 (2000). MSC: 76M20 76D27 PDFBibTeX XMLCite \textit{M. F. Tome} et al., J. Comput. Phys. 157, No. 2, 441--472 (2000; Zbl 0960.76061) Full Text: DOI
Hou, Thomas Y.; Rosakis, Phoebus; LeFloch, Philippe A level-set approach to the computation of twinning and phase-transition dynamics. (English) Zbl 0936.74052 J. Comput. Phys. 150, No. 2, 302-331 (1999). MSC: 74N20 74S30 PDFBibTeX XMLCite \textit{T. Y. Hou} et al., J. Comput. Phys. 150, No. 2, 302--331 (1999; Zbl 0936.74052) Full Text: DOI
Carpenter, Mark H.; Nordström, Jan; Gottlieb, David A stable and conservative interface treatment of arbitrary spatial accuracy. (English) Zbl 0921.65059 J. Comput. Phys. 148, No. 2, 341-365 (1999); erratum ibid. 351, 534 (2017). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65M06 65M12 35K15 35Q53 PDFBibTeX XMLCite \textit{M. H. Carpenter} et al., J. Comput. Phys. 148, No. 2, 341--365 (1999; Zbl 0921.65059) Full Text: DOI Link
Jou, H.-J.; Leo, P. H.; Lowengrub, J. S. Microstructural evolution in inhomogeneous elastic media. (English) Zbl 0880.73050 J. Comput. Phys. 131, No. 1, 109-148 (1997). Reviewer: N.Sandru (Bucureşti) MSC: 74A60 74M25 74E05 74S15 PDFBibTeX XMLCite \textit{H. J. Jou} et al., J. Comput. Phys. 131, No. 1, 109--148 (1997; Zbl 0880.73050) Full Text: DOI Link
Canuto, Claudio; Pietra, Paola Boundary and interface conditions within a finite element preconditioner for spectral methods. (English) Zbl 0717.65091 J. Comput. Phys. 91, No. 2, 310-343 (1990). Reviewer: W.Ames MSC: 65N35 65N30 65F10 35J25 65F35 PDFBibTeX XMLCite \textit{C. Canuto} and \textit{P. Pietra}, J. Comput. Phys. 91, No. 2, 310--343 (1990; Zbl 0717.65091) Full Text: DOI
Li, Zi-Cai; Mathon, Rudolf Boundary approximation methods for solving elliptic problems on unbounded domains. (English) Zbl 0704.65076 J. Comput. Phys. 89, No. 2, 414-431 (1990). Reviewer: U.Langer MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{Z.-C. Li} and \textit{R. Mathon}, J. Comput. Phys. 89, No. 2, 414--431 (1990; Zbl 0704.65076) Full Text: DOI
Pomraning, G. C.; Foglesong, G. M. Transport-diffusion interfaces in radiative transfer. (English) Zbl 0439.45013 J. Comput. Phys. 32, 420-436 (1979). MSC: 45K05 85A25 47Gxx 65R20 PDFBibTeX XMLCite \textit{G. C. Pomraning} and \textit{G. M. Foglesong}, J. Comput. Phys. 32, 420--436 (1979; Zbl 0439.45013) Full Text: DOI