Composite B-spline regularized delta functions for the immersed boundary method: Divergence-free interpolation and gradient-preserving force spreading.

Boyce E. Griffith

Cole Gruninger Boyce E. Griffith Composite B-spline regularized delta functions for the immersed boundary method: Divergence-free interpolation and gradient-preserving force spreading. 114472 2026 546 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2025.114472 db/journals/jcphy/jcphy546.html#GruningerG26 streams/journals/jcphy

Qi Sun Ebrahim M. Kolahdouz Boyce E. Griffith Improving the robustness of the immersed interface method through regularized velocity reconstruction. 114497 2026 546 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2025.114497 db/journals/jcphy/jcphy546.html#SunKG26 streams/journals/jcphy

Michael J. Facci Qi Sun Boyce E. Griffith A Pressure-Robust Immersed Interface Method for Discrete Surfaces. 2026 March abs/2603.07248 CoRR https://doi.org/10.48550/arXiv.2603.07248 db/journals/corr/corr2603.html#abs-2603-07248 streams/journals/corr

Keon Ho Kim Boyce E. Griffith An immersed peridynamics method for fluid-driven damage and failure of anisotropic materials. 2026 March abs/2603.16046 CoRR https://doi.org/10.48550/arXiv.2603.16046 db/journals/corr/corr2603.html#abs-2603-16046 streams/journals/corr

Cole Gruninger Boyce E. Griffith Composite B-Spline Current Deposition and Interpolation Operators for Thin-Wire Finite-Difference Time-Domain Simulations. 2026 May abs/2605.21450 CoRR https://doi.org/10.48550/arXiv.2605.21450 db/journals/corr/corr2605.html#abs-2605-21450 streams/journals/corr

David R. Wells Matthew G. Knepley Boyce E. Griffith WING: A Simple Windowed Nonorthogonalized Initial Guess Procedure for Repeated Matrix Solves. 2026 June abs/2606.10132 CoRR https://doi.org/10.48550/arXiv.2606.10132 db/journals/corr/corr2606.html#abs-2606-10132 streams/journals/corr

Michael J. Facci Ebrahim M. Kolahdouz Boyce E. Griffith An immersed interface method for incompressible flows and geometries with sharp features. 114119 2025 537 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2025.114119 db/journals/jcphy/jcphy537.html#FacciKG25 streams/journals/jcphy

Lianxia Li Unimunkh Uriyanghai Christine Wai Hong Yuan Eric W. Livingston Edward M. Bahnson Vinay Sudarsanam Samuel Haddad Prabir Roy-Chaudhury Boyce E. Griffith Gang Xi Temporal evolution of hemodynamics in murine arteriovenous fistula: A micro-CT based CFD study. 1012985 2025 21 PLoS Comput. Biol. 8 https://doi.org/10.1371/journal.pcbi.1012985 db/journals/ploscb/ploscb21.html#LiUWYLBSHRGX25 streams/journals/ploscb

Edward M. Terrell Boyce E. Griffith An efficient and accurate semi-implicit time integration scheme for dynamics in nearly- and fully-incompressible hyperelastic solids. 2025 February abs/2502.14284 CoRR https://doi.org/10.48550/arXiv.2502.14284 db/journals/corr/corr2502.html#abs-2502-14284 streams/journals/corr

Cole Gruninger Aaron Barrett Fuhui Fang M. Gregory Forest Boyce E. Griffith Benchmarking the immersed boundary method for viscoelastic flows. 112888 2024 506 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2024.112888 db/journals/jcphy/jcphy506.html#GruningerBFFG24

Cole Gruninger Boyce E. Griffith Local divergence-free velocity interpolation for the immersed boundary method using composite B-splines. 2024 abs/2408.08280 CoRR https://doi.org/10.48550/arXiv.2408.08280 db/journals/corr/corr2408.html#abs-2408-08280 streams/journals/corr

Bindi M. Nagda Aaron Barrett Boyce E. Griffith Aaron L. Fogelson Jian Du Adaptive Mesh Refinement for Two-Phase Viscoelastic Fluid Mixture Models. 2024 abs/2409.19974 CoRR https://doi.org/10.48550/arXiv.2409.19974 db/journals/corr/corr2409.html#abs-2409-19974 streams/journals/corr

Michael J. Facci Ebrahim M. Kolahdouz Boyce E. Griffith An Immersed Interface Method for Incompressible Flows and Geometries with Sharp Features. 2024 abs/2410.16466 CoRR https://doi.org/10.48550/arXiv.2410.16466 db/journals/corr/corr2410.html#abs-2410-16466 streams/journals/corr

Lianxia Li Cole Gruninger Jae H. Lee Boyce E. Griffith Local Divergence-Free Immersed Finite Element-Difference Method Using Composite B-Splines. 2024 abs/2412.15408 CoRR https://doi.org/10.48550/arXiv.2412.15408 db/journals/corr/corr2412.html#abs-2412-15408 streams/journals/corr

David R. Wells Ben Vadala-Roth Jae H. Lee Boyce E. Griffith A nodal immersed finite element-finite difference method. 111890 2023 March 477 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2022.111890 db/journals/jcphy/jcphy477.html#WellsVLG23

Ebrahim M. Kolahdouz David R. Wells Simone Rossi 0003 Kenneth I. Aycock Brent A. Craven Boyce E. Griffith A sharp interface Lagrangian-Eulerian method for flexible-body fluid-structure interaction. 112174 2023 September 488 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2023.112174 db/journals/jcphy/jcphy488.html#KolahdouzWRACG23

Keon Ho Kim Amneet Pal Singh Bhalla Boyce E. Griffith An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure. 112466 2023 November 493 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2023.112466 db/journals/jcphy/jcphy493.html#KimBG23

Marshall Davey Charles Puelz Simone Rossi 0003 Margaret Anne Smith David R. Wells Greg Sturgeon William Paul Segars John P. Vavalle Charles S. Peskin Boyce E. Griffith Simulating Cardiac Fluid Dynamics in the Human Heart. 2023 abs/2307.02680 CoRR https://doi.org/10.48550/arXiv.2307.02680 db/journals/corr/corr2307.html#abs-2307-02680

Aaron Barrett Aaron L. Fogelson Boyce E. Griffith A hybrid semi-Lagrangian cut cell method for advection-diffusion problems with Robin boundary conditions in moving domains. 110805 2022 449 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2021.110805 db/journals/jcphy/jcphy449.html#BarrettFG22

Jae H. Lee Boyce E. Griffith On the Lagrangian-Eulerian coupling in the immersed finite element/difference method. 111042 2022 457 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2022.111042 db/journals/jcphy/jcphy457.html#LeeG22

Ebrahim M. Kolahdouz David R. Wells Simone Rossi 0003 Kenneth I. Aycock Brent A. Craven Boyce E. Griffith A sharp interface Lagrangian-Eulerian method for flexible-body fluid-structure interaction. 2022 abs/2204.12907 CoRR https://doi.org/10.48550/arXiv.2204.12907 db/journals/corr/corr2204.html#abs-2204-12907

Aaron Barrett Jordan A. Brown Margaret Anne Smith Andrew Woodward John P. Vavalle Arash Kheradvar Boyce E. Griffith Aaron L. Fogelson A Model of Fluid-Structure and Biochemical Interactions with Applications to Subclinical Leaflet Thrombosis. 2022 abs/2205.01578 CoRR https://doi.org/10.48550/arXiv.2205.01578 db/journals/corr/corr2205.html#abs-2205-01578

Keon Ho Kim Amneet Pal Singh Bhalla Boyce E. Griffith An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure. 2022 abs/2207.14232 CoRR https://doi.org/10.48550/arXiv.2207.14232 db/journals/corr/corr2207.html#abs-2207-14232

Jianhua Qin Ebrahim M. Kolahdouz Boyce E. Griffith An immersed interface-lattice Boltzmann method for fluid-structure interaction. 109807 2021 428 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2020.109807 db/journals/jcphy/jcphy428.html#QinKG21

Saad Qadeer Boyce E. Griffith The smooth forcing extension method: A high-order technique for solving elliptic equations on complex domains. 110390 2021 439 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2021.110390 db/journals/jcphy/jcphy439.html#QadeerG21

Rahul Bale Amneet Pal Singh Bhalla Boyce E. Griffith Makoto Tsubokura A one-sided direct forcing immersed boundary method using moving least squares. 110359 2021 440 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2021.110359 db/journals/jcphy/jcphy440.html#BaleBGT21

Ebrahim M. Kolahdouz Amneet Pal Singh Bhalla L. N. Scotten Brent A. Craven Boyce E. Griffith A sharp interface Lagrangian-Eulerian method for rigid-body fluid-structure interaction. 110442 2021 443 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2021.110442 db/journals/jcphy/jcphy443.html#KolahdouzBSCG21

Aaron Barrett Aaron L. Fogelson Boyce E. Griffith A Hybrid Semi-Lagrangian Cut Cell Method for Advection-Diffusion Problems with Robin Boundary Conditions in Moving Domains. 2021 abs/2102.07966 CoRR https://arxiv.org/abs/2102.07966 db/journals/corr/corr2102.html#abs-2102-07966

Rahul Bale Amneet Pal Singh Bhalla Boyce E. Griffith Makoto Tsubokura A one-sided direct forcing immersed boundary method using moving least squares. 2021 abs/2104.07738 CoRR https://arxiv.org/abs/2104.07738 db/journals/corr/corr2104.html#abs-2104-07738

Jae H. Lee Boyce E. Griffith On the Lagrangian-Eulerian Coupling in the Immersed Finite Element/Difference Method. 2021 abs/2105.14536 CoRR https://arxiv.org/abs/2105.14536 db/journals/corr/corr2105.html#abs-2105-14536

Saad Qadeer Ehssan Nazockdast Boyce E. Griffith The Projection Extension Method: A Spectrally Accurate Technique for Complex Domains. 2021 abs/2111.07944 CoRR https://arxiv.org/abs/2111.07944 db/journals/corr/corr2111.html#abs-2111-07944

David R. Wells Ben Vadala-Roth Jae H. Lee Boyce E. Griffith A Nodal Immersed Finite Element-Finite Difference Method. 2021 abs/2111.09958 CoRR https://arxiv.org/abs/2111.09958 db/journals/corr/corr2111.html#abs-2111-09958

Ebrahim M. Kolahdouz Amneet Pal Singh Bhalla Brent A. Craven Boyce E. Griffith An immersed interface method for discrete surfaces. 2020 400 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2019.07.052 https://www.wikidata.org/entity/Q91704858 db/journals/jcphy/jcphy400.html#KolahdouzBCG20

Charles Puelz Boyce E. Griffith A sharp interface method for an immersed viscoelastic solid. 109217 2020 409 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2019.109217 https://www.wikidata.org/entity/Q126418104 db/journals/jcphy/jcphy409.html#PuelzG20

Saad Qadeer Boyce E. Griffith The Smooth Forcing Extension Method: A High-Order Technique for Solving Elliptic Equations on Complex Domains. 2020 abs/2003.04924 CoRR https://arxiv.org/abs/2003.04924 db/journals/corr/corr2003.html#abs-2003-04924

Ebrahim M. Kolahdouz Amneet Pal Singh Bhalla Brent A. Craven Boyce E. Griffith An Immersed Lagrangian-Eulerian Method for Fluid-Structure Interaction. 2020 abs/2003.12046 CoRR https://arxiv.org/abs/2003.12046 db/journals/corr/corr2003.html#abs-2003-12046

Jianhua Qin Ebrahim M. Kolahdouz Boyce E. Griffith An immersed interface-lattice Boltzmann method for fluid-structure interaction. 2020 abs/2003.12186 CoRR https://arxiv.org/abs/2003.12186 db/journals/corr/corr2003.html#abs-2003-12186

Nishant Nangia Boyce E. Griffith Neelesh A. Patankar Amneet Pal Singh Bhalla A robust incompressible Navier-Stokes solver for high density ratio multiphase flows. 548-594 2019 390 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2019.03.042 db/journals/jcphy/jcphy390.html#NangiaGPB19

Yuanxun Bao Aleksandar Donev Boyce E. Griffith David McQueen Charles S. Peskin An Immersed Boundary method with divergence-free velocity interpolation and force spreading. 183-206 2017 347 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2017.06.041 https://www.wikidata.org/entity/Q90599001 db/journals/jcphy/jcphy347.html#BaoDGMP17

Wenjun Kou Boyce E. Griffith John E. Pandolfino Peter J. Kahrilas Neelesh A. Patankar A continuum mechanics-based musculo-mechanical model for esophageal transport. 433-459 2017 348 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2017.07.025 https://www.wikidata.org/entity/Q47400725 db/journals/jcphy/jcphy348.html#KouGPKP17

Boyce E. Griffith Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. 2017 abs/1703.09265 CoRR http://arxiv.org/abs/1703.09265 db/journals/corr/corr1703.html#Griffith17

Hao Gao 0002 Liuyang Feng Nan Qi Colin Berry Boyce E. Griffith Xiaoyu Luo A coupled mitral valve - left ventricle model with fluid-structure interaction. 2017 abs/1704.01960 CoRR http://arxiv.org/abs/1704.01960 db/journals/corr/corr1704.html#GaoFQBGL17

Ali Hasan Ebrahim M. Kolahdouz Andinet Enquobahrie Thomas G. Caranasos John P. Vavalle Boyce E. Griffith Image-based immersed boundary model of the aortic root. 2017 abs/1705.04279 CoRR http://arxiv.org/abs/1705.04279 db/journals/corr/corr1705.html#HasanKECVG17

Boyce E. Griffith Xiaoyu Luo Hybrid finite difference/finite element immersed boundary method. 2016 abs/1612.05916 CoRR http://arxiv.org/abs/1612.05916 db/journals/corr/corr1612.html#GriffithL16

Robert D. Guy Bobby Philip Boyce E. Griffith Geometric multigrid for an implicit-time immersed boundary method. 635-662 2015 41 Adv. Comput. Math. 3 https://doi.org/10.1007/s10444-014-9380-1 https://www.wikidata.org/entity/Q57707668 db/journals/adcm/adcm41.html#GuyPG15

Wenjun Kou Amneet Pal Singh Bhalla Boyce E. Griffith John E. Pandolfino Peter J. Kahrilas Neelesh A. Patankar A fully resolved active musculo-mechanical model for esophageal transport. 446-465 2015 298 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2015.05.049 https://www.wikidata.org/entity/Q35854573 db/journals/jcphy/jcphy298.html#KouBGPKP15

Hao Gao 0002 Nan Qi Xingshuang Ma Boyce E. Griffith Colin Berry Xiaoyu Luo Fluid-Structure Interaction Model of Human Mitral Valve within Left Ventricle. 330-337 2015 FIMH https://doi.org/10.1007/978-3-319-20309-6_38 conf/fimh/2015 db/conf/fimh/fimh2015.html#GaoQMGBL15

Vittoria Flamini Abe DeAnda Boyce E. Griffith Immersed boundary-finite element model of fluid-structure interaction in the aortic root. 2015 abs/1501.02287 CoRR http://arxiv.org/abs/1501.02287 db/journals/corr/corr1501.html#FlaminiDG15

Amneet Pal Singh Bhalla Rahul Bale Boyce E. Griffith Neelesh A. Patankar Fully resolved immersed electrohydrodynamics for particle motion, electrolocation, and self-propulsion. 88-108 2014 256 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2013.08.043 db/journals/jcphy/jcphy256.html#BhallaBGP14

Thomas G. Fai Boyce E. Griffith Yoichiro Mori Charles S. Peskin Immersed Boundary Method for Variable Viscosity and Variable Density Problems Using Fast Constant-Coefficient Linear Solvers II: Theory. 2014 36 SIAM J. Sci. Comput. 3 https://doi.org/10.1137/12090304X db/journals/siamsc/siamsc36.html#FaiGMP14

Thomas G. Fai Boyce E. Griffith Yoichiro Mori Charles S. Peskin Erratum: Immersed Boundary Method for Variable Viscosity and Variable Density Problems Using Fast Constant-Coefficient Linear Solvers I: Numerical Method and Results. 2014 36 SIAM J. Sci. Comput. 4 https://doi.org/10.1137/140967295 db/journals/siamsc/siamsc36.html#FaiGMP14a

Amneet Pal Singh Bhalla Rahul Bale Boyce E. Griffith Neelesh A. Patankar A unified mathematical framework and an adaptive numerical method for fluid-structure interaction with rigid, deforming, and elastic bodies. 446-476 2013 250 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2013.04.033 https://www.wikidata.org/entity/Q59619668 db/journals/jcphy/jcphy250.html#BhallaBGP13

Amneet Pal Singh Bhalla Boyce E. Griffith Neelesh A. Patankar A Forced Damped Oscillation Framework for Undulatory Swimming Provides New Insights into How Propulsion Arises in Active and Passive Swimming. 2013 9 PLoS Comput. Biol. 6 https://doi.org/10.1371/journal.pcbi.1003097 https://www.wikidata.org/entity/Q27324454 db/journals/ploscb/ploscb9.html#BhallaGP13

Thomas G. Fai Boyce E. Griffith Yoichiro Mori Charles S. Peskin Immersed Boundary Method for Variable Viscosity and Variable Density Problems Using Fast Constant-Coefficient Linear Solvers I: Numerical Method and Results. 2013 35 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/120903038 db/journals/siamsc/siamsc35.html#FaiGMP13

Hao Gao 0002 Boyce E. Griffith David Carrick Christie McComb Colin Berry Xiaoyu Luo Initial Experience with a Dynamic Imaging-Derived Immersed Boundary Model of Human Left Ventricle. 11-18 2013 FIMH https://doi.org/10.1007/978-3-642-38899-6_2 conf/fimh/2013 db/conf/fimh/fimh2013.html#GaoGCMBL13

Florencio Balboa Usabiaga John B. Bell Rafael Delgado-Buscalioni Aleksandar Donev Thomas G. Fai Boyce E. Griffith Charles S. Peskin Staggered Schemes for Fluctuating Hydrodynamics. 1369-1408 2012 10 Multiscale Model. Simul. 4 https://doi.org/10.1137/120864520 db/journals/mmas/mmas10.html#UsabiagaBDDFGP12

Pilhwa Lee Boyce E. Griffith Charles S. Peskin The immersed boundary method for advection-electrodiffusion with implicit timestepping and local mesh refinement. 5208-5227 2010 229 J. Comput. Phys. 13 https://doi.org/10.1016/j.jcp.2010.03.036 https://www.wikidata.org/entity/Q33831316 db/journals/jcphy/jcphy229.html#LeeGP10

Boyce E. Griffith An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner. 7565-7595 2009 228 J. Comput. Phys. 20 https://doi.org/10.1016/j.jcp.2009.07.001 db/journals/jcphy/jcphy228.html#Griffith09

Boyce E. Griffith Richard D. Hornung David McQueen Charles S. Peskin An adaptive, formally second order accurate version of the immersed boundary method. 10-49 2007 223 J. Comput. Phys. 1 https://doi.org/10.1016/j.jcp.2006.08.019 db/journals/jcphy/jcphy223.html#GriffithHMP07

Steven J. Cox Boyce E. Griffith Recovering Quasi-Active Properties of Dendritic Neurons from Dual Potential Recordings. 95-110 2001 11 J. Comput. Neurosci. 2 db/journals/jcns/jcns11.html#CoxG01 https://doi.org/10.1023/A:1012858230117 https://www.wikidata.org/entity/Q52051387

Kenneth I. Aycock Edward M. Bahnson Rahul Bale Yuanxun Bao Aaron Barrett John B. Bell Colin Berry Amneet Pal Singh Bhalla Jordan A. Brown Thomas G. Caranasos David Carrick Steven J. Cox Brent A. Craven Marshall Davey Abe DeAnda Rafael Delgado-Buscalioni Aleksandar Donev Jian Du Andinet Enquobahrie Michael J. Facci Thomas G. Fai Fuhui Fang Liuyang Feng Vittoria Flamini Aaron L. Fogelson M. Gregory Forest Hao Gao 0002 Cole Gruninger Robert D. Guy Samuel Haddad Ali Hasan Richard D. Hornung Peter J. Kahrilas Arash Kheradvar Keon Ho Kim Matthew G. Knepley Ebrahim M. Kolahdouz Wenjun Kou Jae H. Lee Pilhwa Lee Lianxia Li Eric W. Livingston Xiaoyu Luo Xingshuang Ma Christie McComb David McQueen Yoichiro Mori Bindi M. Nagda Nishant Nangia Ehssan Nazockdast John E. Pandolfino Neelesh A. Patankar Charles S. Peskin Bobby Philip Charles Puelz Saad Qadeer Nan Qi Jianhua Qin Simone Rossi 0003 Prabir Roy-Chaudhury L. N. Scotten William Paul Segars Margaret Anne Smith Gregory M. SturgeonGreg Sturgeon Vinay Sudarsanam Qi Sun Edward M. Terrell Makoto Tsubokura Unimunkh Uriyanghai Florencio Balboa Usabiaga Ben Vadala-Roth John P. Vavalle Christine Wai David R. Wells Andrew Woodward Gang Xi Hong Yuan