ZHANG Xiang-wei, LIN Yi. The Dimension of Spline Space S31(Δ) on a Type of Triangulation[J]. Applied Mathematics and Mechanics, 2000, 21(8): 783-791.
	
		
			Citation: 
			 
			 
													ZHANG Xiang-wei, LIN Yi. The Dimension of Spline Space S3 1 (Δ) on a Type of Triangulation[J]. Applied Mathematics and Mechanics, 2000, 21(8): 783-791. 								 
				
			 
		 
	
 
	
		ZHANG Xiang-wei, LIN Yi. The Dimension of Spline Space S31(Δ) on a Type of Triangulation[J]. Applied Mathematics and Mechanics, 2000, 21(8): 783-791.
	
		
			Citation: 
			 
			 
													ZHANG Xiang-wei, LIN Yi. The Dimension of Spline Space S3 1 (Δ) on a Type of Triangulation[J]. Applied Mathematics and Mechanics, 2000, 21(8): 783-791. 								 
				 
		 
	
  
			
				
					
						
The Dimension of Spline Space S3 1 (Δ) on a Type of Triangulation 
					
					
						 
					
					
						
						 1.
	       									 
									
										Shantou University, Shantou, Guangdong 515063, P R China;
 
							 2.
	       									 
									
										Wuxi University of Light Industry, Wuxi 214036, P R China
 
							 
					
                        
		    		
						
							
							
							Received Date:  1999-06-26 
									 
								Rev Recd Date: 
										2000-04-25 
									 
								Publish Date: 
											2000-08-15 
									
	                     
	                  
                 
             
            
            	
                
                 
				
                    Abstract 
                        
                            A harmonic condition that can distinguish whether the dimension of spline space S3 1 (Δ) depends on the geometrical character of triangulation is presented, then on a type of general triangulation the dimension is got.
                    
                     
                
                 
                
               	
	                
	                     
	                 
                
                
				
	                    References 
	                    
	
		
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					郭竹端,贾荣庆.多元样条研究中的B网方法[J].数学进展,1990,19(2);189-198.
					
					 
			 
		
				[2] 
				
					刘焕文.二元样条的积分表示及分层三角剖分下二次样条空间的维数[J].数学学报,1994,37(4);534-543.
					
					 
			 
		
				[3] 
				
					Schumaker L L.In:Schemp W, Zeller K Eds.Multivariate Approximation Theory[C].Boston:Birkhouse Verlag, 1979,396-412.
					
					 
			 
		
  
                
                 
				
				
                     
                
				
				
				
						 
				
                 
		
		
		
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