Advanced Numerical Methods in the Mathematical Sciences
- –
- Texas A&M University
- College Station, TX
- Rudder Tower (RDER) 501
Description
The workshop "Advanced Numerical Methods in the Mathematical Sciences" will take place at Texas A&M University in College Station, Texas, on –. This workshop aims to bring together researchers working on different aspects of finite element discretization techniques and their applications and to foster interaction among researchers from both industry and academia.
Taking place at the university's campus in College Station, Texas, this workshop will host a poster session and offer a number of invited presentations given by a mix of senior and junior researchers. We particularly encourage workshop participants to present posters. Additionally, preceding the workshop on , will be a day of tutorials on various topics concerning finite element discretizations. Thanks to assistance from the National Science Foundation through award number DMS-1438451, we will offer young researchers and doctoral students financial support on a competitive basis. We are also grateful for assistance provided by Texas A&M's Institute for Scientific Computation, Institute for Applied Mathematics and Computational Science, Department of Mathematics, and College of Science.
Those interested in this workshop may contact NumMethWkspTAMU2015@gmail.com for additional information or assistance with registration, accommodations, etc.
We will provide and update information for this workshop online at http://isc.tamu.edu/events/NumMethWkspTAMU2015/.
Organizing Committee
- Yalchin Efendiev, Texas A&M University
- Raytcho Lazarov, Texas A&M University
- Ke Shi, Texas A&M University
- Xiu Ye, University of Arkansas at Little Rock
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Registration
All workshop participants must register using our secure online store by entering the required information.
There are two registration price tiers corresponding to whether you wish to attend the formal dinner occurring on . The tiers are:
- Without dinner - $50.00
- With dinner - $120.00
Note that the deadline to register with the dinner option is . However, there is a limited number of dinner reservations available so early registration is strongly encouraged.
After selecting a tier, the secure online store will request a registrant's name, institutional affiliation, role within that institution, and email address. Students and post-doctoral candidates will indicate whether they will attend the tutorial sessions taking place on . Registrants will also indicate whether they will present a poster during the session taking place on , and, if so, the title of their poster. Note that as of , the poster option is no longer available. Finally, registrants must indicate any food allergies so that our staff can better plan break sessions.
Those attending the formal dinner hosted by Café Eccell on , will indicate their entrée choice. Note that vegetarians, vegans, and others with dietary restrictions can request a special entrée on site through the restaurant's wait staff. Each guest will receive two drink tickets to use toward a selection of bar beverages. The menu for the formal dinner includes:
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Hotel and Accommodations
Hotel accommodations are available for our guests at a rate of $109.00 plus 15.75% tax with:
Home2 Suites by Hilton College Station
300 Texas Avenue South, College Station, TX 77840
Phone: +1.979.703.8288
Fax: +1.979.703.8287
Group Code: ISC
Booking a reservation online is simple through our personalized web portal.
In order to ensure room availability, you must book with Home2 Suites by Hilton College Station by using the group code ISC. There is a limited number of rooms available so early booking is strongly encouraged. After , or until all reserved rooms are sold-out, the group code will no longer be valid and you may need to reserve a room elsewhere.
Home2 Suites by Hilton College Station is conveniently located within a walking distance of approximately 1.5 miles from the workshop location, 0.25 miles from the formal dinner location, and offers many amenities and services for your comfort including a complimentary breakfast, free parking, wireless Internet access, and twenty-four hour access to the fitness and laundry facilities.
More information about the College Station area is available online at http://www.visitaggieland.com/.
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Financial Support
Thanks to assistance provided by the National Science Foundation, we are offering limited financial support to young researchers and doctoral students attending this workshop. We are no longer accepting financial support awards at this time.
Speakers
- Todd Arbogast, University of Texas at Austin
- Approximation of a Degenerate Elliptic Equation Arising from a Two-Phase Mixture Modeling the Motion of the Earth's Mantle
- Randolph Bank, University of California at San Diego
- Some Recent Results for Adaptive Finite Elements
- Pavel Bochev, Sandia National Laboratories
- Optimization-Based Coupling of Local and Non-Local Continuum Models: A Divide and Conquer Approach for Stable and Physically Consistent Heterogeneous Numerical Models
- Tan Bui-Thanh, University of Texas at Austin
- Some Recent Advances in Hybridized Discontinuous Galerkin Methods
- Victor Calo, King Abdullah University of Science and Technology
- PetIGA: High-Performance Isogeometric Analysis
- Eric Chung, Chinese University of Hong Kong
- Adaptive Multiscale Discontinuous Galerkin Methods
- Bernardo Cockburn, University of Minnesota
- The Evolution of the HDG Methods: An Overview
- Leszek Demkowicz, University of Texas at Austin
- Discontinuous Petrov-Galerkin (DPG) Method with Optimal Test Functions: Tutorial and Perspectives
- Alan Demlow, Texas A&M University
- A Posteriori Error Estimation and Adaptivity in the Maximum Norm
- Jay Gopalakrishnan, Portland State University
- Traces of a Friedrichs Space for the Wave Equation and Tent Pitching
- Johnny Guzmán, Brown University
- Higher-Order Finite Element Methods for Elliptic Problems with Interface
- Seong Lee, Chevron Energy Technology Company
- Recent Advances in Numerical Methods Applied to Non-Linear Transport Equations in Reservoir Simulation
- Melvin Leok, University of California at San Diego
- Space-Time Finite-Element Exterior Calculus and Variational Discretizations of Gauge Field Theories
- Konstantin Lipnikov, Los Alamos National Laboratory
- The Mimetic Finite Difference and Virtual Element Methods
- Lin Mu, Michigan State University
- Weak Galerkin Finite Element Methods and Numerical Applications
- Weifeng Qiu, City University of Hong Kong
- Robust A Posteriori Error Estimates for the HDG Method for Convection-Diffusion Equations
- Beatrice Riviere, Rice University
- High Order Methods for Flows in Heterogeneous Porous Media
- Joachim Schöberl, Vienna Institute of Technology (Austria)
- DG and HDG Tent Pitching Methods for Conservation Laws
- Chi-Wang Shu, Brown University
- IMEX Time Marching for Discontinuous Galerkin Methods
- Junping Wang, National Science Foundation
- Weak Galerkin Finite Element Methods for \(\text{div}\)-\(\text{curl}\) Systems
- Yanqiu Wang, Oklahoma State University
- In Search of Conforming \(H\left(\text{curl}\right)\) and \(H\left(\text{div}\right)\) Elements on Polytopes
- Guo-Wei Wei, Michigan State University
- Objective-Oriented Multidimensional Persistence in Biomolecular Data
- Mary Wheeler, University of Texas at Austin
- Modeling Coupled Flow, Chemistry, and Mechanics in Porous Media
- Ivan Yotov, University of Pittsburgh
- Domain Decomposition and Time-Partitioned Methods for Flow in Fractured Poroelastic Media
- Ludmil Zikatanov, Pennsylvania State University and Bulgarian Academy of Sciences (Bulgaria)
- Stability and Monotonicity in the Low Order Discretizations of the Biot's Model
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Posters
The poster session will take place in Memorial Student Center (MSC) 2404. We will provide poster presenters with a standard easel to display their work and a stiff backing (both 2 ft × 3 ft and 3 ft × 4 ft will be available) on which to mount it. A partial list of poster presentations includes:
- Bandar Bin-Mohsin, King Saud University (Saudi Arabia)
- Determination of Inner Boundaries in Modified Helmholtz Inverse Geometric Problems Using the MFS
- Johan Ceballos, Yachay Tech University (Ecuador)
- Simulation and Modeling Diabetic Retinopathy from Images Analysis
- Duan Chen, University of North Carolina at Charlotte
- Modeling and Computation of Heterogeneous Implicit Solvent and its Applications for Biomolecules
- Jie Du, University of Science and Technology of China
- A Simple Weighted Essentially Non-Oscillatory (WENO) Limiter for the Correction Procedure via Reconstruction (CPR) Framework on Unstructured Meshes
- Truman Ellis, University of Texas at Austin
- Space-Time Discontinuous Petrov-Galerkin Finite Elements for Fluid Flow
- Federico Fuentes, University of Texas at Austin
- Pyramid High Order Exact Sequence Shape Functions
- Andrew Gillette, University of Arizona
- What is a Good Linear Finite Element... on a Generic Polytope?
- Shinhoo Kang, University of Texas at Austin
- IMEX-HDG-DG Schemes for Nonlinear Partial Differential Equations
- Brendan Keith, University of Texas at Austin
- Orientation Embedded High Order Shape Functions for the Exact Sequence Elemends of All Shapes
- Myoungnyoun Kim, National Institute for Mathematical Sciences (South Korea)
- Multilevel Monte Carlo Method for the Helmholtz Equation with Random Coefficients
- Seong Jun Kim, Georgia Institute of Technology
- Parareal Methods for Highly Oscillatory Ordinary Differential Equations
- Sanghyun Lee, University of Texas at Austin
- 3D Fracture Propagation Modeling Using Phase Field
- Liangwei Li, George Washington University
- The Hybrid Weak Galerkin Method for Parallel Computing
- Brianna Lynn, Rice University
- Optimal Control of System of Equations Using Discontinuous Galerkin Methods
- Subhashree Mohapatra, Indian Institute of Science at Bangalore (India)
- Least Squares Spectral Element Method for Oseen Equations with Applications to Navier-Stokes Equations
- Sriramkrishnan Muralikrishnan, University of Texas at Austin
- Multi-level HDG Method
- Sriram Nagaraj, University of Texas at Austin
- Construction of the DPG Fortin Operator
- Charles Puelz, Rice University
- Discontinuous Galerkin Methods for Reduced Blood Flow Models
- Carmen Rodrigo, University of Zaragoza (Spain)
- Stable Discretizations and Multigrid Solution of Biot's Consolidation Problem
- Manuel Sanchez-Uribe, Brown University
- FEM for Interface Problems
- Stephen Shannon, University of Texas at Austin
- Non-Conforming Discretizations for HDG
- Jiguang Shen, University of Minnesota
- A HDG Method for the \(p\)-Laplacian
- Imbo Sim, National Institute for Mathematical Sciences (South Korea)
- PML for Time-Dependent Wave Equation with Highly Oscillating Coefficients
- Pu Song, University of Pittsburgh
- Coupling Surface and Subsurface Flows with Curved Interfaces
- Bao Wang, Michigan State University
- Second Order Method for Solving 3D Elasticity Equations with Complex Interfaces
- ChangQing Wang, University of Pittsburgh
- Domain Decomposition Method on Stokes-Darcy Flow
- Chunmei Wang, Georgia Institute of Technology
- Weak Galerkin Finite Element Methods
- Xingwu Wang, Alfred University
- Earthquake Impacts on Solar Houses via Finite Element Methods
- Yingwei Wang, Purdue University
- Efficient Spectral Galerkin Methods for Electronic Structure Calculations
- Steffen Weißer, Saarland University (Germany)
- Polygonal/Polyhedral discretizations with BEM-based Finite Element Methods
- Kelin Xia, Michigan State University
- Persistent Homology Analysis of Biomolecules
- Rana Zakerzadeh, University of Pittsburgh
- Effect of Poroelasticity and Viscoelasticity on the Fluid-Structure Interaction in Arteries
- Xu Zhang, Purdue University
- Immersed Finite Element Methods with Enhanced Stability
- Yujie Zhang, Oklahoma State University
- Weak Galerkin Mixed Finite Element Method for Linear Elasticity Problems
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Schedule
The tutorial sessions will take place in Blocker Building (BLOC) 220. Please note that the schedule is tentative and subject to change. All times listed are local time.
Tutorial Day:
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- Bernardo Cockburn, University of Minnesota
- Jiguang Shen, University of Minnesota
- An Introduction to the Hybridized Discontinuous Galerkin (HDG) Methods
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- Chunmei Wang, Georgia Institute of Technology
- Junping Wang, National Science Foundation
- Xiu Ye, University of Arkansas at Little Rock
- Basics of Weak Galerkin Finite Element Methods
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- Yalchin Efendiev, Texas A&M University
- Tat Leung, Texas A&M University
- Multiscale Model Reduction Techniques in Finite Element Methods
All workshop presentations will take place in Rudder Tower (RDER) 501. The poster session will take place in Memorial Student Center (MSC) 2404. Please note that the schedule is tentative and subject to change. All times listed are local time.
Day 1:
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- Registration
- –
- Welcoming Remarks
- –
- Mary Wheeler, University of Texas at Austin
- Modeling Coupled Flow, Chemistry, and Mechanics in Porous Media
- –
- Konstantin Lipnikov, Los Alamos National Laboratory
- The Mimetic Finite Difference and Virtual Element Methods
- –
- Break
- –
- Johnny Guzmán, Brown University
- Higher-Order Finite Element Methods for Elliptic Problems with Interface
- –
- Lunch Break
- –
- Junping Wang, National Science Foundation
- Weak Galerkin Finite Element Methods for \(\text{div}\)-\(\text{curl}\) Systems
- –
- Lin Mu, Michigan State University
- Weak Galerkin Finite Element Methods and Numerical Applications
- –
- Break
- –
- Poster Session
- Memorial Student Center (MSC) 2404
Day 2:
- –
- Bernardo Cockburn, University of Minnesota
- The Evolution of the HDG Methods: An Overview
- –
- Weifeng Qiu, City University of Hong Kong
- Robust A Posteriori Error Estimates for the HDG Method for Convection-Diffusion Equations
- –
- Break
- –
- Melvin Leok, University of California at San Diego
- Space-Time Finite-Element Exterior Calculus and Variational Discretizations of Gauge Field Theories
- –
- Yanqiu Wang, Oklahoma State University
- In Search of Conforming \(H\left(\text{curl}\right)\) and \(H\left(\text{div}\right)\) Elements on Polytopes
- –
- Lunch Break
- –
- Tan Bui-Thanh, University of Texas at Austin
- Some Recent Advances in Hybridized Discontinuous Galerkin Methods
- –
- Guo-Wei Wei, Michigan State University
- Objective-Oriented Multidimensional Persistence in Biomolecular Data
- –
- Break
- –
- Leszek Demkowicz, University of Texas at Austin
- Discontinuous Petrov-Galerkin (DPG) Method with Optimal Test Functions: Tutorial and Perspectives
Day 3:
- –
- Chi-Wang Shu, Brown University
- IMEX Time Marching for Discontinuous Galerkin Methods
- –
- Beatrice Riviere, Rice University
- High Order Methods for Flows in Heterogeneous Porous Media
- –
- Break
- –
- Pavel Bochev, Sandia National Laboratories
- Optimization-Based Coupling of Local and Non-Local Continuum Models: A Divide and Conquer Approach for Stable and Physically Consistent Heterogeneous Numerical Models
- –
- Victor Calo, King Abdullah University of Science and Technology
- PetIGA: High-Performance Isogeometric Analysis
- –
- Lunch Break
- –
- Randolph Bank, University of California at San Diego
- Some Recent Results for Adaptive Finite Elements
- –
- Todd Arbogast, University of Texas at Austin
- Approximation of a Degenerate Elliptic Equation Arising from a Two-Phase Mixture Modeling the Motion of the Earth's Mantle
- –
- Break
- –
- Seong Lee, Chevron Energy Technology Company
- Recent Advances in Numerical Methods Applied to Non-Linear Transport Equations in Reservoir Simulation
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- Dinner
- Café Eccell
- 4401 S. Texas Avenue, Bryan, TX 77802 - 979.599.7929
Day 4:
- –
- Jay Gopalakrishnan, Portland State University
- Traces of a Friedrichs Space for the Wave Equation and Tent Pitching
- –
- Joachim Schöberl, Vienna Institute of Technology (Austria)
- DG and HDG Tent Pitching Methods for Conservation Laws
- –
- Break
- –
- Ivan Yotov, University of Pittsburgh
- Domain Decomposition and Time-Partitioned Methods for Flow in Fractured Poroelastic Media
- –
- Ludmil Zikatanov, Pennsylvania State University and Bulgarian Academy of Sciences (Bulgaria)
- Stability and Monotonicity in the Low Order Discretizations of the Biot's Model
- –
- Lunch Break
- –
- Eric Chung, Chinese University of Hong Kong
- Adaptive Multiscale Discontinuous Galerkin Methods
- –
- Alan Demlow, Texas A&M University
- A Posteriori Error Estimation and Adaptivity in the Maximum Norm
- –
- Closing Remarks
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Contact Information
If you have any questions concerning this workshop, email NumMethWkspTAMU2015@gmail.com.