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Published on 01/01/1998
DOI: 10.1016/S0045-7825(97)00119-9
Licence: CC BY-NC-SA license
Web of Science Core Collection® Times cited: 154
Crossref Cited-by Times cited: 152
OpenCitations.net Times cited: 83
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- A. Selvadurai. On nonclassical analytical solutions for advective transport problems. Water Resour. Res. 44(5) (2008) DOI 10.1029/2007wr006312
- E. Oñate, A. Valls, J. García. Computation of turbulent flows using a finite calculus–finite element formulation. Int. J. Numer. Meth. Fluids 54(6-8) (2007) DOI 10.1002/fld.1476
- P. Nadukandi, E. Oñate, J. Garcia. Analysis of a consistency recovery method for the 1D convection–diffusion equation using linear finite elements. Int. J. Numer. Meth. Fluids 57(9) DOI 10.1002/fld.1863
- E. Ortega, E. Oñate, S. Idelsohn. A finite point method for adaptive three-dimensional compressible flow calculations. Int. J. Numer. Meth. Fluids 60(9) DOI 10.1002/fld.1892
- E. Oñate, P. Nadukandi, S. Idelsohn, J. García, C. Felippa. A family of residual-based stabilized finite element methods for Stokes flows. Int. J. Numer. Meth. Fluids 65(1-3) (2010) DOI 10.1002/fld.2468
- E. Oñate, A. Franci, J. Carbonell. Lagrangian formulation for finite element analysis of quasi-incompressible fluids with reduced mass losses. Int. J. Numer. Meth. Fluids 74(10) (2014) DOI 10.1002/fld.3870
- M. Kouhi, E. Oñate. A stabilized finite element formulation for high-speed inviscid compressible flows using finite calculus. Int. J. Numer. Meth. Fluids 74(12) (2014) DOI 10.1002/fld.3877
- C. Jiang, Z. Zhang, X. Han, G. Liu, T. Lin. A cell-based smoothed finite element method with semi-implicit CBS procedures for incompressible laminar viscous flows. Int J Numer Meth Fluids 86(1) (2017) DOI 10.1002/fld.4406
- I. de-Pouplana, E. Oñate. A FIC-based stabilized mixed finite element method with equal order interpolation for solid-pore fluid interaction problems. Int. J. Numer. Anal. Meth. Geomech. 41(1) (2016) DOI 10.1002/nag.2550
- L. Monforte, P. Navas, J. Carbonell, M. Arroyo, A. Gens. Low‐order stabilized finite element for the full Biot formulation in soil mechanics at finite strain. Int J Numer Anal Methods Geomech 43(7) (2019) DOI 10.1002/nag.2923
- K. Xia, K. Zhang. A multiscale finite element formulation for axisymmetric elastoplasticity with volumetric locking. Int. J. Numer. Anal. Meth. Geomech. DOI 10.1002/nag.853
- M. Preisig, J. Prévost. Stabilization procedures in coupled poromechanics problems: A critical assessment. Int. J. Numer. Anal. Meth. Geomech. 35(11) (2010) DOI 10.1002/nag.951
- S. Subramanian, U. Kumar. Augmenting numerical stability of the Galerkin finite element formulation for electromagnetic flowmeter analysis. 10(4) DOI 10.1049/iet-smt.2015.0159
- S. Subramanian, U. Kumar. Stable Galerkin finite-element scheme for the simulation of problems involving conductors moving rectilinearly in magnetic fields. 10(8) DOI 10.1049/iet-smt.2016.0162
- C. Huang, D. Zhou, Y. Bao. A semi-implicit three-step method based on SUPG finite element formulation for flow in lid driven cavities with different geometries. J. Zhejiang Univ. Sci. A 12(1) (2011) DOI 10.1631/jzus.a1000098
- P. Selvadurai. Transport in porous media. European Journal of Environmental and Civil Engineering 14(8-9) (2011) DOI 10.1080/19648189.2010.9693275
- E. OÑATE, S. IDELSOHN, F. DEL PIN, R. AUBRY. THE PARTICLE FINITE ELEMENT METHOD — AN OVERVIEW. Int. J. Comput. Methods 01(02) (2012) DOI 10.1142/s0219876204000204
- C. BUACHART, W. KANOK-NUKULCHAI, E. ORTEGA, E. OÑATE. A SHALLOW WATER MODEL BY FINITE POINT METHOD. Int. J. Comput. Methods 11(01) (2013) DOI 10.1142/s0219876213500473
- C. Huang, B. Yan, D. Zhou, J. Xu. Stabilized finite element technique and its application for turbulent flow with high Reynolds number. Wind and Structures An International Journal 14(5) DOI 10.12989/was.2011.14.5.465
- A. Sapotnick, U. Nackenhorst. A combined FIC-TDG finite element approach for the numerical solution of coupled advection-diffusion-reaction equations with application to a bioregulatory model for bone fracture healing. Int. J. Numer. Meth. Engng 92(3) (2012) DOI 10.1002/nme.4338
- P. Nithiarasu. On boundary conditions of the characteristic based split (CBS) algorithm for fluid dynamics. Int. J. Numer. Meth. Engng. 54(4) (2002) DOI 10.1002/nme.434
- A. Franci, E. Oñate, J. Carbonell. On the effect of the bulk tangent matrix in partitioned solution schemes for nearly incompressible fluids. Int. J. Numer. Meth. Engng 102(3-4) (2014) DOI 10.1002/nme.4839
- C. Ladubec, R. Gracie. Stabilized finite element methods for vertically averaged multiphase flow for carbon sequestration. Int. J. Numer. Meth. Engng 111(8) (2017) DOI 10.1002/nme.5480
- C. Jiang, Z. Zhang, X. Han, G. Liu, G. Gao, T. Lin. A quasi-implicit characteristic-based penalty finite-element method for incompressible laminar viscous flows. Int J Numer Methods Eng 114(2) (2018) DOI 10.1002/nme.5738
- H. Hernández, T. Massart, R. Peerlings, M. Geers. A stabilization technique for coupled convection-diffusion-reaction equations. Int J Numer Methods Eng 116(1) (2018) DOI 10.1002/nme.5914
- M. Yang, S. Lu. A mixed DOF collocation method for elastic problems in heterogeneous structure. Int J Numer Methods Eng 119(11) (2019) DOI 10.1002/nme.6087
- B. Boroomand, B. Khalilian. On using linear elements in incompressible plane strain problems: a simple edge based approach for triangles. Int. J. Numer. Meth. Engng. 61(10) (2004) DOI 10.1002/nme.1121
- B. Boroomand, A. Tabatabaei, E. Oñate. Simple modifications for stabilization of the finite point method. Int. J. Numer. Meth. Engng. 63(3) (2005) DOI 10.1002/nme.1278
- J. Rojek, E. Oñate, R. Taylor. CBS-based stabilization in explicit solid dynamics. Int. J. Numer. Meth. Engng 66(10) DOI 10.1002/nme.1689
- P. Nithiarasu, R. Codina, O. Zienkiewicz. The Characteristic-Based Split (CBS) scheme—a unified approach to fluid dynamics. Int. J. Numer. Meth. Engng 66(10) DOI 10.1002/nme.1698
- A. Sadeghirad, S. Mohammadi. Equilibrium on line method (ELM) for imposition of Neumann boundary conditions in the finite point method (FPM). Int. J. Numer. Meth. Engng 69(1) (2006) DOI 10.1002/nme.1755
- F. Ilinca, J. Hétu. A new stabilized finite element method for reaction-diffusion problems: The source-stabilized Petrov-Galerkin method. Int. J. Numer. Meth. Engng 75(13) DOI 10.1002/nme.2324
- J. Garcia-Espinosa, A. Valls, E. Oñate. ODDLS: A new unstructured mesh finite element method for the analysis of free surface flow problems. Int. J. Numer. Meth. Engng 76(9) DOI 10.1002/nme.2348
- E. Oñate, R. Rossi, S. Idelsohn, K. Butler. Melting and spread of polymers in fire with the particle finite element method. Int. J. Numer. Meth. Engng DOI 10.1002/nme.2731
- E. Oñate, S. Idelsohn, C. Felippa. Consistent pressure Laplacian stabilization for incompressible continua via higher-order finite calculus. Int. J. Numer. Meth. Engng. 87(1-5) (2010) DOI 10.1002/nme.3021
- J. Reichenbach, N. Aksel. Lösungsverhalten der FEM für das ebene Couette- und Poiseuille-Problem eines Oldroyd-B Fluides. Z. angew. Math. Mech. 79(S1) (2011) DOI 10.1002/zamm.19990791350
- E. Oñate, M. Manzán. A general procedure for deriving stabilized space-time finite element methods for advective-diffusive problems. Int. J. Numer. Meth. Fluids 31(1) (2001) DOI 10.1002/(sici)1097-0363(19990915)31:1<203::aid-fld964>3.0.co;2-z
- O. Zienkiewicz, P. Nithiarasu, R. Codina, M. Vázquez, P. Ortiz. The characteristic-based-split procedure: an efficient and accurate algorithm for fluid problems. Int. J. Numer. Meth. Fluids 31(1) (2001) DOI 10.1002/(sici)1097-0363(19990915)31:1<359::aid-fld984>3.0.co;2-7
- E. Oñate, M. Celigueta, S. Idelsohn. Modeling bed erosion in free surface flows by the particle finite element method. Acta Geotech. 1(4) (2006) DOI 10.1007/s11440-006-0019-3
- E. Oñate, J. García-Espinosa, S. Idelsohn, B. Serván-Camas. Ship Hydrodynamics. (2017) DOI 10.1002/9781119176817.ecm2070
- E. Oñate, P. Cendoya, J. Miquel. Non‐linear explicit dynamic analysis of shells using the BST rotation‐free triangle. Engineering Computations 19(6) DOI 10.1108/02644400210439119
- E. Oñate, R. Taylor, O. Zienkiewicz, J. Rojek. A residual correction method based on finite calculus. Engineering Computations 20(5/6) DOI 10.1108/02644400310488790
- B. Chetverushkin. Kinetic schemes and quasi-gas-dynamic system of equations. 20(4) DOI 10.1515/156939805775122253
- W. WANG, X. LI, X. HAN. RHEOLOGICAL BEHAVIOR OF POM-POM MOLECULES THROUGH PLANAR CONTRACTION FLOW. Acta Polymerica Sinica 010(3) DOI 10.3724/sp.j.1105.2010.00292
- D. Garzón-Alvarado, A. Ramírez-Martínez, C. Duque Daza. Solución en dominios cuadrados de ecuaciones de difusión-convección mediante elementos finitos estocásticos espectrales en conjunto con el método de Petrov Galerkin en contracorriente. Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 29(4) DOI 10.1016/j.rimni.2013.07.001
- A. German, J. García-Espinosa, M. Espino, M. Maidana. Simulation of Water Circulation over a Model of a Submarine Canyon by Using FIC-FEM Numerical Model. J. Waterway, Port, Coastal, Ocean Eng. 138(1) DOI 10.1061/(asce)ww.1943-5460.0000105
- E. Oñate, S. Idelsohn, M. Celigueta, B. Suárez. The Particle Finite Element Method (PFEM). An Effective Numerical Technique for Solving Marine, Naval and Harbour Engineering Problems. DOI 10.1007/978-94-007-6143-8_4
- A. Sadeghirad, I. Kani. Modified equilibrium on line method for imposition of Neumann boundary conditions in meshless collocation methods. Commun. Numer. Meth. Engng. 25(2) DOI 10.1002/cnm.1114
- H. Geijselaers, J. Huétink. A second order discontinuous Galerkin method for advection on unstructured triangular meshes. Commun. Numer. Meth. Engng. 19(4) (2003) DOI 10.1002/cnm.588
- B. Chetverushkin. Resolution limits of continuous media mode and their mathematical formulations. Math Models Comput Simul 5(3) (2013) DOI 10.1134/s2070048213030034
- A. Franci. Introduction. (2016) DOI 10.1007/978-3-319-45662-1_1
- A. Franci. Unified Stabilized Formulation for Quasi-incompressible Materials. (2016) DOI 10.1007/978-3-319-45662-1_3
- E. Oñate, S. Idelsohn, M. Celigueta, R. Rossi, S. Latorre. Possibilities of the Particle Finite Element Method in Computational Mechanics. DOI 10.1007/978-3-642-05241-5_15
- M. Wilkinson, A. Meade. Radial Basis Function Artificial Neural-Network-Inspired Numerical Solver. Journal of Aerospace Information Systems 13(6) DOI 10.2514/1.i010196
- E. Oñate, S. Idelsohn, M. Celigueta, R. Rossi, J. Marti, J. Carbonell, P. Ryzhakov, B. Suárez. Advances in the Particle Finite Element Method (PFEM) for Solving Coupled Problems in Engineering. (2011) DOI 10.1007/978-94-007-0735-1_1
- A. Selvadurai. On Recent Analytical Results for Advective Transport in Fluid-Saturated Porous Media. DOI 10.1007/978-3-540-35724-7_22
- E. Oñate, M. Celigueta, S. Latorre, G. Casas, R. Rossi, J. Rojek. Lagrangian analysis of multiscale particulate flows with the particle finite element method. Comp. Part. Mech. 1(1) (2014) DOI 10.1007/s40571-014-0012-9
- M. Celigueta, K. Deshpande, S. Latorre, E. Oñate. A FEM-DEM technique for studying the motion of particles in non-Newtonian fluids. Application to the transport of drill cuttings in wellbores. Comp. Part. Mech. 3(2) (2015) DOI 10.1007/s40571-015-0090-3
- A. Franci, I. de-Pouplana, G. Casas, M. Celigueta, J. González-Usúa, E. Oñate. PFEM–DEM for particle-laden flows with free surface. Comp. Part. Mech. 7(1) (2019) DOI 10.1007/s40571-019-00244-1
- A. Shojaei, B. Boroomand, F. Mossaiby. A simple meshless method for challenging engineering problems. Engineering Computations 32(6) DOI 10.1108/ec-06-2014-0131
- A. Hamrani, I. Belaidi, E. Monteiro, P. Lorong. On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method. Adv. Appl. Math. Mech. 9(1) (2016) DOI 10.4208/aamm.2015.m1115
- J. Garcı´a, E. On˜ate. An Unstructured Finite Element Solver for Ship Hydrodynamics Problems. 70(1) (2003) DOI 10.1115/1.1530631
- C. Varanasi, J. Murthy, S. Mathur. A Meshless Finite Difference Method for Conjugate Heat Conduction Problems. 132(8) (2010) DOI 10.1115/1.4001363
- X. Zhou, Q. Zhang. Numerical Simulation of Fluid-Structure Interaction for Tension Membrane Structures. AMR 457-458 (2012) DOI 10.4028/www.scientific.net/amr.457-458.1062
- V. Gravemeier. The variational multiscale method for laminar and turbulent flow. ARCO 13(2) DOI 10.1007/bf02980231
- E. Oñate, A. Franci, J. Carbonell. A Particle Finite Element Method (PFEM) for Coupled Thermal Analysis of Quasi and Fully Incompressible Flows and Fluid-Structure Interaction Problems. (2014) DOI 10.1007/978-3-319-06136-8_6
- E. Oñate, S. Idelsohn, F. Del Pin, R. Aubry. Possibilities of the particle finite element method for fluid-structure interaction problems with free surface waves. Revue Européenne des Éléments Finis 13(5-7) (2012) DOI 10.3166/reef.13.637-666
- A. Javed, K. Djidjeli, M. Jamil, I. Arif. A Stabilized RBF Finite Difference Method for Convection Dominated Flows over Meshfree Nodes. (2018) DOI 10.2514/6.2018-1565
- A. Sapotnick, U. Nackenhorst. A Mechanically Stimulated Fracture Healing Model Using a Finite Element Framework. (2014) DOI 10.1007/978-3-319-10981-7_3
- O. Eugenio. Finite increment calculus (FIC): a framework for deriving enhanced computational methods in mechanics. Adv. Model. and Simul. in Eng. Sci. 3(1) (2016) DOI 10.1186/s40323-016-0065-9
- A. Shojaei, F. Mossaiby, M. Zaccariotto, U. Galvanetto. The meshless finite point method for transient elastodynamic problems. Acta Mech 228(10) (2017) DOI 10.1007/s00707-017-1894-4
- U. Rasthofer, V. Gravemeier. Recent Developments in Variational Multiscale Methods for Large-Eddy Simulation of Turbulent Flow. Arch Computat Methods Eng 25(3) (2017) DOI 10.1007/s11831-017-9209-4
- C. Felippa, E. Oñate, S. Idelsohn. Variational Framework for FIC Formulations in Continuum Mechanics: High Order Tensor-Derivative Transformations and Invariants. Arch Computat Methods Eng 25(4) (2017) DOI 10.1007/s11831-017-9245-0
- T. Jacquemin, S. Tomar, K. Agathos, S. Mohseni-Mofidi, S. Bordas. Taylor-Series Expansion Based Numerical Methods: A Primer, Performance Benchmarking and New Approaches for Problems with Non-smooth Solutions. Arch Computat Methods Eng (2019) DOI 10.1007/s11831-019-09357-5
- C. Felippa, E. Oñate. Nodally exact Ritz discretizations of 1D diffusion–absorption and Helmholtz equations by variational FIC and modified equation methods. Comput Mech 39(2) (2006) DOI 10.1007/s00466-005-0011-z
- Y. Gu, G. Liu. Meshless techniques for convection dominated problems. Comput Mech 38(2) (2005) DOI 10.1007/s00466-005-0736-8
- E. Oñate, A. Valls, J. García. FIC/FEM Formulation with Matrix Stabilizing Terms for Incompressible Flows at Low and High Reynolds Numbers. Comput Mech 38(4-5) (2006) DOI 10.1007/s00466-006-0060-y
- E. Ortega, E. Oñate, S. Idelsohn. An improved finite point method for tridimensional potential flows. Comput Mech 40(6) (2007) DOI 10.1007/s00466-006-0154-6
- E. Oñate, M. Celigueta, S. Idelsohn, F. Salazar, B. Suárez. Possibilities of the particle finite element method for fluid–soil–structure interaction problems. Comput Mech 48(3) (2011) DOI 10.1007/s00466-011-0617-2
- E. Oñate, A. Franci, J. Carbonell. A particle finite element method for analysis of industrial forming processes. Comput Mech 54(1) (2014) DOI 10.1007/s00466-014-1016-2
- E. Oñate, J. Carbonell. Updated lagrangian mixed finite element formulation for quasi and fully incompressible fluids. Comput Mech 54(6) (2014) DOI 10.1007/s00466-014-1078-1
- M. Kouhi, E. Oñate. An implicit stabilized finite element method for the compressible Navier–Stokes equations using finite calculus. Comput Mech 56(1) (2015) DOI 10.1007/s00466-015-1161-2
- I. Iaconeta, A. Larese, R. Rossi, E. Oñate. A stabilized mixed implicit Material Point Method for non-linear incompressible solid mechanics. Comput Mech 63(6) (2018) DOI 10.1007/s00466-018-1647-9